Non-zero orders of differentiation of Soul state of the Soul’s will with respect to thought with respect to objective time plausibly range from of order 1 to order Aleph i where i = 0, 1,2,3, ….,Omega, …,Aleph 0,…, Aleph 1, … Aleph 2, …, Aleph Omega, …, Aleph (Aleph 0),…, Aleph (Aleph 1), .., Aleph (Aleph 2),…, Aleph (Aleph (Omega)), …, Aleph (Aleph (Aleph 0)),…, Aleph (Aleph (Aleph 1)), .., Aleph (Aleph (Aleph 2)), and so on utterly ad infinitum, worlds without end amen. Any existence of such infinite order double thought time derivatives obviously implies that the human soul is infinitely complex and perfectly continuous to super-continuous in its state change with respect to time.
A good mathematical scenario of non-zero infinite order time derivatives of state change of will with respect to thought includes dynamics where the change of soul-will-though state is described by a finite or infinite series of trigonometric functions such as those expressible as a partial or full Fourier Series. Another scenario includes soul-will-though states defined by exponential functions such as functions of will-thought including but not limited to: f(will) = (h)[e[g(will-though)]] or perhaps f(will) = {(h)[e[g(will-though)]]} + d where h and d can be functions of will and/or thought , or any other parameters, and g(will-thought) is a function of will and/or thought. For functions of will expressible as a Fourier Series, one or more or all of the summation terms can be functions of will and/or thought. The series of similar trigonometric or exponential functions might alternatively be a product series or a series of exponents, a series of tetrations, 4, a series of pentations, 5, a series of hexations, 6, 7, 8, ensemble, …, infinity scrapper, …, Omega, …,Aleph 0,…, Aleph 1, … Aleph 2, …, Aleph Omega, …, Aleph (Aleph 0),…, Aleph (Aleph 1), .., Aleph (Aleph 2),…, Aleph (Aleph (Omega)), …, Aleph (Aleph (Aleph 0)),…, Aleph (Aleph (Aleph 1)), .., Aleph (Aleph (Aleph 2)), and so on utterly ad infinitum, worlds without end amen.
Note that tetration is defined as follows:
From our friend of Wikipedia;
“As we can see from the definition, when evaluating tetration expressed as an “exponentiation tower”, the exponentiation is done at the deepest level first (in the notation, at the highest level). In other words:”
42 = 2 EXP (2 EXP (2 EXP 2))) = 2 EXP (2 EXP 4) = 2 EXP 16 = 65,536.
Pentation is the next higher level and is defined as in the following examples:
2↑32 = 22 = 4
2↑32 = 222 = 42 = 65,536
2↑34 = 42 = 65,5362 which is far too large to be written in conventional notation.
Likewise, the higher levels of hexatation, septation, octation and so-on are mathematically definable.
For cases where the function or states of will- thought are expressible as a trigonometric series, the number of dimensions in each term can be equal to 1 and perhaps as great as Aleph i where i = 0, 1,2,3, ….,Omega, …,Aleph 0,…, Aleph 1, … Aleph 2, …, Aleph Omega, …, Aleph (Aleph 0),…, Aleph (Aleph 1), .., Aleph (Aleph 2),…, Aleph (Aleph (Omega)), …, Aleph (Aleph (Aleph 0)),…, Aleph (Aleph (Aleph 1)), .., Aleph (Aleph (Aleph 2)), and so on utterly ad infinitum, worlds without end amen.
Now regarding objective time dependent evolution of the time derivative of the thought derivatives of will state with respect to objective and/or subjective time, the slope of the curve defining such evolution can be extra-ordinarily abrupt and localized in time such that the time limits of the curve would be localized between say -1 and 1, or between any finite real numbers, m and n, where m and n can be but need not be equal and which can be either positive or negative but where the area under the curve is normalized to infinite numbers of square units where the infinite number can be Ω,…,f1Ω, …, Aleph 0, …, f2(Aleph 0), …, Aleph 1, …, f3(Aleph 1), …, Aleph 2, …, f4(Aleph 2), and so-on ad infinitum. Alternatively, the area under the curve can be normalized to one square unit or any finite numbers of square units less than or greater than one where the limits of integration are -1/Ω,…,-1/[f1Ω], …, -1/[Aleph 0], …, -1/[f2(Aleph 0)], …, -1/[Aleph 1], …, -1/[f3(Aleph 1)], …, -1/[Aleph 2], …, -1/[f4(Aleph 2)] and so-on ad infinitum to 1/Ω,…,1/[f1Ω], …, 1/[Aleph 0], …, 1/[f2(Aleph 0)], …, 1/[Aleph 1], …, 1/[f3(Aleph 1)], …, 1/[Aleph 2], …, 1/[f4(Aleph 2)] , and so-on ad infinitum. Here fi are suitable finite or infinite non-dimensional factors.
An analogous normalization can be obtained for objective time dependent functions of will with respect to thought of 3 dimensions where the region under the normalized curve is bounded along the x1 and x2 axes such that along the x1 and x2 axes, the time limits of the curve would be localized between say -1 and 1, or between any finite real numbers, m and n, where m and n can be but need not be equal and which can be either positive or negative but where the 3-D volume under the curve is normalized to infinite numbers of 3-D cubic units where the infinite number can be Ω,…,f1Ω, …, Aleph 0, …, f2(Aleph 0), …, Aleph 1, …, f3(Aleph 1), …, Aleph 2, …, f4(Aleph 2), and so-on ad infinitum but where the function is well behaved in the sense that for zero centered functions, the x1 and x2 coordinates of any point along the bounding curve surface are finite. Alternatively, the volume under the curve can be normalized to one 3-D cubic unit or any finite numbers of such cubic units less than or greater than one where the limits of integration along x1 and x2 axes are -1/Ω,…,-1/[f1Ω], …, -1/[Aleph 0], …, -1/[f2(Aleph 0)], …, -1/[Aleph 1], …, -1/[f3(Aleph 1)], …, -1/[Aleph 2], …, -1/[f4(Aleph 2)] and so-on ad infinitum to 1/Ω,…,1/[f1Ω], …, 1/[Aleph 0], …, 1/[f2(Aleph 0)], …, 1/[Aleph 1], …, 1/[f3(Aleph 1)], …, 1/[Aleph 2], …, 1/[f4(Aleph 2)] and so-on ad infinitum but where the function is well behaved in the sense that for zero centered functions, the x1 and x2 coordinates of any point along the bounding curve surface are finite. Here fi are suitably finite or infinite non-dimensional factors.
An analogous normalization can be obtained for time dependent functions of will with respect to thought of 4 dimensions where the region under the normalized curve is bounded along the x1, x2, and x3 axes such that along the x1, x2, and x3 axes, the time limits of the curve would be localized between say -1 and 1, or between any finite real numbers, m and n, where m and n can be but need not be equal and which can be either positive or negative but where the 4-D volume under the curve is normalized to infinite numbers of 4-D hyper-cubic units where the infinite number can be Ω,…,f1Ω, …, Aleph 0, …, f2(Aleph 0), …, Aleph 1, …, f3(Aleph 1), …, Aleph 2, …, f4(Aleph 2), and so-on ad infinitum but where the function is well behaved in the sense that for zero centered functions, the x1, x2, and x3 coordinates of any point along the bounding curve surface are finite. Alternatively, the volume under the curve can be normalized to one 4-D hyper-cubic unit or any finite numbers of such 4-D hyper-cubic units less than or greater than one where the limits of integration along x1, x2, and x3 axes are -1/Ω,…,-1/[f1Ω], …, -1/[Aleph 0], …, -1/[f2(Aleph 0)], …, -1/[Aleph 1], …, -1/[f3(Aleph 1)], …, -1/[Aleph 2], …, -1/[f4(Aleph 2)] and so-on ad infinitum to 1/Ω,…,1/[f1Ω], …, 1/[Aleph 0], …, 1/[f2(Aleph 0)], …, 1/[Aleph 1], …, 1/[f3(Aleph 1)], …, 1/[Aleph 2], …, 1/[f4(Aleph 2)] and so-on ad infinitum but where the function is well behaved in the sense that for zero centered functions, the x1, x2, and x3 coordinates of any point along the bounding curve surface are finite. Here fi are suitable finite or infinite non-dimensional factors.
An analogous normalization can be obtained for time dependent functions of will with respect to thought of 5 dimensions where the region under the normalized curve is bounded along the x1, x2, x3, and x4 axes such that along the x1, x2, x3, and x4 axes, the time limits of the curve would be localized between say -1 and 1, or between any finite real numbers, m and n, where m and n can be but need not be equal and which can be either positive or negative but where the 5-D volume under the curve is normalized to infinite numbers of 5-D hyper-cubic units where the infinite number can be Ω,…,f1Ω, …, Aleph 0, …, f2(Aleph 0), …, Aleph 1, …, f3(Aleph 1), …, Aleph 2, …, f4(Aleph 2), and so-on ad infinitum but where the function is well behaved in the sense that for zero centered functions, the x1, x2, x3, and x4 coordinates of any point along the bounding curve surface are finite. Alternatively, the volume under the curve can be normalized to one 5-D hyper-cubic unit or any finite numbers of such 5-D hyper-cubic units less than or greater than one where the limits of integration along x1, x2, x3, and x4 axes are -1/Ω,…,-1/[f1Ω], …, -1/[Aleph 0], …, -1/[f2(Aleph 0)], …, -1/[Aleph 1], …, -1/[f3(Aleph 1)], …, -1/[Aleph 2], …, -1/[f4(Aleph 2)] and so-on ad infinitum to 1/Ω,…,1/[f1Ω], …, 1/[Aleph 0], …, 1/[f2(Aleph 0)], …, 1/[Aleph 1], …, 1/[f3(Aleph 1)], …, 1/[Aleph 2], …, 1/[f4(Aleph 2)] and so-on ad infinitum but where the function is well behaved in the sense that for zero centered functions, the x1, x2, x3, and x4 coordinates of any point along the bounding curve surface are finite. Here fi are suitable finite or infinite non-dimensional factors.
In general, an analogous normalization can be obtained for time dependent functions of will with respect to thought of (n + 1) dimensions where the region under the normalized curve is bounded along the x1, x2, x2, …, and xn axes such that along the x1, x2, x2, …, and xn axes, the time limits of the curve would be localized between say -1 and 1, or between any finite real numbers, m and n, where m and n can be but need not be equal and which can be either positive or negative but where the (n + 1)-D volume under the curve is normalized to infinite numbers of (n + 1)-D hyper-cubic units where the infinite number can be Ω,…,f1Ω, …, Aleph 0, …, f2(Aleph 0), …, Aleph 1, …, f3(Aleph 1), …, Aleph 2, …, f4(Aleph 2), and so-on ad infinitum but where the function is well behaved in the sense that for zero centered functions, the x1, x2, x2, …, and xn coordinates of any point along the bounding curve surface are finite. Alternatively, the volume under the curve can be normalized to one (n + 1)-D hyper-cubic unit or any finite numbers of such (n + 1)-D hyper-cubic units less than or greater than one where the limits of integration along x1, x2, x2, …, and xn axes are -1/Ω,…,-1/[f1Ω], …, -1/[Aleph 0], …, -1/[f2(Aleph 0)], …, -1/[Aleph 1], …, -1/[f3(Aleph 1)], …, -1/[Aleph 2], …, -1/[f4(Aleph 2)] and so-on ad infinitum to 1/Ω,…,1/[f1Ω], …, 1/[Aleph 0], …, 1/[f2(Aleph 0)], …, 1/[Aleph 1], …, 1/[f3(Aleph 1)], …, 1/[Aleph 2], …, 1/[f4(Aleph 2)] and so-on ad infinitum but where the function is well behaved in the sense that for zero centered functions, the x1, x2, x2, …, and xn coordinates of any point along the bounding curve surface are finite. Here fi are suitable finite or infinite non-dimensional factors.
Note that the integrated volume under the above normalized curves need not necessarily be continuous, smooth, and or symmetrical. The conic sections bounding the regions defining the functions can be curvy, bumpy, lumpy, have a high degree or torsion, of rough contours, and/or may perhaps even have contours that are of arbitrarily rough fractal patterns and arbitrary forms of fractal patterns in one, more than one, or all dimensions including along the temporal dimension.
Since an act of will is well defined, a given species of act will either be performed or not performed. The state of an act of will upon its completion or upon the formation of a fully free and deliberate intention to the precursor state immediately preceding the act will be discontinuous as described by the following ratios: k1/Ω, [k i + 2_]/(Aleph i) where i = 0, 1,2,3, ….,Omega, …,Aleph 0,…, Aleph 1, … Aleph 2, …, Aleph Omega, …, Aleph (Aleph 0),…, Aleph (Aleph 1), .., Aleph (Aleph 2),…, Aleph (Aleph (Omega)), …, Aleph (Aleph (Aleph 0)),…, Aleph (Aleph (Aleph 1)), .., Aleph (Aleph (Aleph 2)), and so on utterly ad infinitum worlds without end amen. For the latter formulation, k1 is finite, k(I +2) is either finite or suitably infinite. Here the numerator is the absolute values of the quantitative state(s) variable(s) immediately before the start of the free act and the denominator is the absolute value of the state(s) variable(s) immediately upon realizations or development of the act.
In order to introduce a complexity to the morphology of the surface contours of the above delta Dirac function analogues, the continuum background abstracted as a spatial volume can be positively or negatively curved or combinations of both forms of curvature. The curvature may be so convoluted that it is marked by a topology that is curvy, bumpy, lumpy, having a high degree or torsion, roughly contoured, and/or may perhaps even have a curvature that is defined by arbitrarily rough fractal patterns and arbitrary forms of fractal patterns in one, more than one, or all dimensions including along the temporal dimension.
When we superpose conic sections defined by intra-space functions that are curvy, bumpy, lumpy, have a high degree or torsion, of rough contours, and/or perhaps even have contours that are of arbitrarily rough fractal patterns and arbitrary forms of fractal patterns in one, more than one, or all dimensions including along the temporal dimension with spaces having curvatures defined by functions that are curvy, bumpy, lumpy, have a high degree or torsion, of rough contours, and/or perhaps even contours that are of arbitrarily rough fractal patterns and arbitrary forms of fractal patterns in one, more than one, or all dimensions including along the temporal dimension, we come up with a real epistemological and morphological mess. However, such mess is of the essence of the tangled workings of the Human Heart which only GOD alone can fully comprehend and judge.
Even for situations where the resolution of objective time for human volitional behavior is finitely quantized at the Planck Time = {[h/(2π)] G/[C5]}1/2 = 5.39 x 10-44 second or perhaps less, the before and after will act states for the will are abrupt thereby automatically indicating a singularity in time dependent will states of the Human Soul.
Since the human soul is a unity in terms of its substantial, semi-substantial, facultative, and accidental aspects, and in terms of its vegetative, sensitive, and intellectual life aspects and that thus the human psyche is a unity in terms of its conscious, semi-conscious, sub-conscious, and unconscious aspects, and indeed in terms of its ego, ID and superego, every completed and objectively abrupt act of human free volition, has abrupt and immediate effects of the intellectual life of a human person even in cases where such thought or thought change is not or cannot be abruptly or immediately recognized in objective and/or subjective time by the person so producing the act of will.
Our thoughts may evolve in manners consistent with the above singularities in objective and even subjective time even if we cannot perceive such fine grained or continuous or super-continuous objective or subjective time dependent emotion change or perceive objective and subjective time at such continuous or super-continuous manners. As for me, I can perhaps distinguish the temporal distance of sound between firecrackers that explode about 1/30 of a second apart but at the same distance from me. Any slightly smaller temporal distances become very rapidly hard for me to distinguish.
Thought is truly awesome and has been exalted to a primary status by we in the Western world who have a cultural tendancy to extol the virtues of the academic intellect over our emotional life.
Now thought, intellectual understanding, intellectual and/or abstract wisdom when possessed to the fullest degree possible regarding a given subject for a given person is in a sense something that we either have or do not have. Even if our awareness of our own understanding waxes and wanes in generally continuous ways in a manner commensurate with our finite ability to perceive the resolution of subjective and objective time, a development of a full and clear understanding of an idea, concept, notion, fact, situation, subject, topic or whatever, with respect to a previous state of imprecise understanding involves a singularity from imprecise understanding to perfect understanding, even though self-perception or self-awareness of the transition boundary between imperfect understanding and perfect understanding in real objective and subjective time during which the transition takes place has a finite level of objective and subjective temporal resolution.
From a purely epistemological and ontological standpoint, such a cognitive transition between complete understanding and lack of complete understanding is abstractly affirmable if for no other reason than that truth is what is true. Something is either true or false and correctly understood or perfectly understood or intellectually abstractly or intuitively clear or it isn’t. Perfection is an absolute state even if the level, mode, or type of perfection is limited. Even in cases where the evolution from imperfect understanding or lack of perfect understanding to perfect or full understanding is continuous, the local finite region of the time dependent evolution of understanding with respect to either objective or subjective time is asymptotic along the dimension of understanding where the asymptotic rise of the time dependent understanding along the objective or subjective temporal axis occurs at the times of transition.
In practice, at least for me, the transition from complete and full understanding or knowing from lack of complete and full understanding or knowing, is blurred in terms of my awareness or experience of such a transition. Maybe I am just a mood or emotional thinker, but even my conscious perception of objective or subjective time passage as such relates to my awareness of a personal understanding of something from a previous imperfect or perhaps outright non-understanding of something is seemingly often continuously morphing even at times when I am struggling to understand a concept that I am writing about such as the subject of this article. Even when I have a sudden flash of insight when a subject is personally first fully understood, it seems that I can sense or intuitively perceive that I am about to understand or beginning to understand the self-aware aspects of such understanding only at a temporal level of resolution of at least 1/10th of a second if the idea becomes consciously clear to me in an obvious and clear matter. Usually, the evolution of personal imperfect or lack of understanding to complete personal understanding takes anywhere from a better part of a second to a few seconds for me.
Just as our conscious moods and thoughts can continually morph, so too can our mental images, mental abstractions, and understandings, especially our conscious visceral awareness of such intellective activity. Oddly, this is even true for understandings wrought from purely abstract or deductive cognitive and logical cognitive processes. For those ultra-rationalist folks who deny their emotionality and perhaps even outright attempt to always repress their emotionality, even in cases where some such folks are really emotionally low key and perhaps out-right calm to the point of being emotionally cold, they would be loathed to try to perceive the temporal time steps of developing conscious understanding, in either subjective or objective time, down to a level of one millisecond. Ask them to try to perceive the time flow of such a transition region from lack of perfect understanding to perfect understanding down to a level of one microsecond, one nano-second, or how about one Planck Time Unit and they could only say that’s impossible. In terms of the existence of any continuous subjective time or subjective time resolution at a level of the infinitesimal, which obviously no human on Earth can consciously perceive or recognize, asking the above most rationalist and intellectual persons to try to perceive such would only end in their utter frustration even if they put all of their effort into trying to do so.
However, since any truth is an absolute, even if the value of a truth, the significance of a truth, the purpose of a truth, the goodness of a truth, and/or the reason for a truth is limited with respect to another, the state of abstractly or intuitively objectively internalized truth in an existential and ontological manner with respect to the temporally nearest state of lack of such internalized truth must be held to be a singularity.
Now, from an ontological and existential perspective, there does seem to exist singularities of the above understanding realization types. Such singularities generally do precede in objective and subjective time, free, deliberate, and rational acts of free will. However, such singularities being a subset of human behavior and also a subset of human psychodynamic structures and elements also couple with human mood, attitude, and emotion. Since we can all agree that mood, emotion, feeling, affect, and to some degree attitude are in constant objective and subjective time varying flux, such fluxes also exists along-side understanding singularities and can both effect and be effected by experienced acquisition of new understandings regardless of whether or not the new understandings are fully within conscious realization and perception or whether or not the understandings are semi-conscious, sub-conscious, and perhaps even unconscious.
Because such time dependent understandings occurs within the context of a real and concretely existing human psyche and more generally, within a given human soul, such singularities are related in objective and subjective time to moods, feelings, emotions, affect, attitude, and even with other thoughts. The significance of the previous statement will become clear to reader below.
Imagine that a conscious realization of understanding type of singularity is plotted above an abstract number line or perhaps two number lines that run more or less parallel to each other and horizontally. The numbers lines are the subjective and objective past, present, and future dimensions defining human psychodynamic movements. The location of the understanding singularity a slight distance above the number line can serve as a proxy for the fact that the singularity occurs mainly in the intellect and is thus located somewhat existentially externally to the sensitive life in the sense that the intellect is not precisely identical to the sensitive life although obviously related to and coupled to the sensitive life.
Because of the existential distance between the understanding singularity and the proximate sensitive life, when one considers a third sensitive axis running parallel to the horizontal temporal axes, one can draw radial lines from the singularity to different positions along either of the three axes. Thus, lines can be drawn to arbitrary points nearly under and ahead of the singularity of arbitrary length thereby permitting the formation of angles between any two radial lines having arbitrary measures. No matter how finitely small the angle, it can always be bisected. In fact for a perfectly dynamically continuous human psyche, or more generally, human soul, the measure of the angles produced can be as small as n/Ω radians where n is positive and finite and Ω is the least transfinite or infinite ordinal. For level 1 super-continuous psyches or souls, the measure can be as small as n/(Aleph 0) radians. For level 2 super-continuous psyches or souls, the measure can be as small as n/(Aleph 1) radians. For level 3 super-continuous psyches or souls, the measure can be as small as n/(Aleph 2) radians. One can continue angles of measure n/(Aleph i) radians for (i-1) level super-continuities where i can be 4, 5, 6, …,Omega, …,Aleph 0,…, Aleph 1, … Aleph 2, …, Aleph Omega, …, Aleph (Aleph 0),…, Aleph (Aleph 1), .., Aleph (Aleph 2),…, Aleph (Aleph (Omega)), …, Aleph (Aleph (Aleph 0)),…, Aleph (Aleph (Aleph 1)), .., Aleph (Aleph (Aleph 2)), and so on utterly ad infinitum worlds without end amen.
Since all such angles remain open until they reach the very center of the point defining the singularity, they are open when they cross the external boundary of the singularity because even at the boundary of such an infinitesimal abstraction, the radial lines have not yet converged. Since the singularity is a real and concrete objective event, perhaps the external singularity boundary values of the separations of the lines indicate individual points or sub-points along the eternal surface of the singularity. Each such boundary location would definitely serve as a proxy for a bit of existential and ontological information about the singularity. In fact, each possible angular divergence of the radial lines from both the boundary surface of the singularity and the very heart of the singularity would serve as a data bit describing and indicating an existential and ontological feature within the singularity. Moreover, each point along a given line as it passes through the boundary of the singularity to the heart of the singularity can be said to represent an ontological or existential character or feature data bit defining the singularity. The number of individual points and sub-points that are possible within the singularity-sensitive life-temporal axis system can be represented as a summation of m1i, f(Ω) terms for continuous psyches or souls; m2i f(Aleph 0) terms for level 1 super-continuous psyches or souls; m3i f(Aleph 1) terms for level 2 super-continuous psyches or souls; m4i f(Aleph 2) terms for level 1 super-continuous psyches or souls; and indeed; m(i +1)i f(Aleph i) terms for level (i + 1) super-continuous psyches or souls, where i can be 4, 5, 6, …,Omega, …,Aleph 0,…, Aleph 1, … Aleph 2, …, Aleph Omega, …, Aleph (Aleph 0),…, Aleph (Aleph 1), .., Aleph (Aleph 2),…, Aleph (Aleph (Omega)), …, Aleph (Aleph (Aleph 0)),…, Aleph (Aleph (Aleph 1)), .., Aleph (Aleph (Aleph 2)), and so on utterly ad infinitum worlds without end amen.
In reality, the number of infinite functional terms, mi scales with the degree of continuity or super-continuity of the human psyche or within at least the singularity-sensitive life-temporal axis system. This is because the number of points or sub-points on each line scales with the ultimate scale of resolution for each degree of super continuity. Since each such point involves a particular location along a given radial line, the distance between each point and its angular coordinate with respect to the location of the heart of the singularity defines a relation which in the context of a real entity such as the human soul, must also represent a real character or feature or distinct aspect of a given singularity-sensitive life-temporal axis system, and more generally, of the overall human psyche or soul.
Since there is an objective set, S0, defining each point, sub-point, and angle thus formed in the singularity-sensitive life-temporal axis system, the set, S1, of all subsets of the elements in the former set further defines real relations or features within the singularity-sensitive life-temporal axis system. The set, S2, of all subsets of S1, still further defines real relations or features with the singularity-sensitive life-temporal axis system. The set, S3, of all subsets of S2, still further defines real relations or features with the singularity-sensitive life-temporal axis system. Likewise, we can go on to form sets, Si, where i = 4, 5, 6, …,Omega, …,Aleph 0,…, Aleph 1, … Aleph 2, …, Aleph Omega, …, Aleph (Aleph 0),…, Aleph (Aleph 1), .., Aleph (Aleph 2),…, Aleph (Aleph (Omega)), …, Aleph (Aleph (Aleph 0)),…, Aleph (Aleph (Aleph 1)), .., Aleph (Aleph (Aleph 2)), and so on utterly ad infinitum worlds without end amen.
Thus, the number of associated features or characters within the singularity-sensitive life-temporal axis system for continuous psyches or souls is roughly
{{2 EXP {Σ[i = 1, f(Ω)] m1i, f(Ω)}} -1} + {{2 EXP {2 EXP {Σ[i = 1, f(Ω)] m1i, f(Ω)}} -1} – 1} + {{ 2 EXP {2 EXP {2 EXP {Σ[i = 1, f(Ω)] m1i, f(Ω)}} -1}} - 1} + {{2 EXP { 2 EXP {2 EXP {2 EXP {Σ[i = 1, f(Ω)] m1i, f(Ω)}} -1}} – 1}} and so-on forever.
The number of associated features or characters within the singularity-sensitive life-temporal axis system for level 1 super-continuous psyches or souls is roughly abstracted as {{2 EXP {Σ[i = 1, f(Aleph 0)] m1i, f(Aleph 0)}} -1} + {{2 EXP {2 EXP {Σ[i = 1, f(Aleph 0)] m1i, f(Aleph 0)}} -1} – 1} + {{ 2 EXP {2 EXP {2 EXP {Σ[i = 1, f(Aleph 0)] m1i, f(Aleph 0)}} -1}} – 1} + {{2 EXP { 2 EXP {2 EXP {2 EXP {Σ[i = 1, f(Aleph 0)] m1i, f(Aleph 0)}} -1}} – 1}} and so-on forever. In reality, the actual number of features and characters is {2 EXP {{{2 EXP {Σ[i = 1, f(Aleph 0)] m1i, f(Aleph 0)}} -1} + {{2 EXP {2 EXP {Σ[i = 1, f(Aleph 0)] m1i, f(Aleph 0)}} -1} – 1} + {{ 2 EXP {2 EXP {2 EXP {Σ[i = 1, f(Aleph 0)] m1i, f(Aleph 0)}} -1}} – 1} + {{2 EXP { 2 EXP {2 EXP {2 EXP {Σ[i = 1, f(Aleph 0)] m1i, f(Aleph 0)}} -1}} – 1}} and so-on forever}} -1 .
The number of associated features or characters within the singularity-sensitive life-temporal axis system for level 2 super-continuous psyches or souls is roughly {{2 EXP {Σ[i = 1, f(Aleph 1)] m1i, f(Aleph 1)}} -1} + {{2 EXP {2 EXP {Σ[i = 1, f(Aleph 1)] m1i, f(Aleph 1)}} -1} – 1} + {{ 2 EXP {2 EXP {2 EXP {Σ[i = 1, f(Aleph 1)] m1i, f(Aleph 1)}} -1}} – 1} + {{2 EXP { 2 EXP {2 EXP {2 EXP {Σ[i = 1, f(Aleph 1)] m1i, f(Aleph 1)}} -1}} – 1}} and so-on forever. In reality, the actual number of features and characters is {2 EXP {{{2 EXP {Σ[i = 1, f(Aleph 1)] m1i, f(Aleph 1)}} -1} + {{2 EXP {2 EXP {Σ[i = 1, f(Aleph 1)] m1i, f(Aleph 1)}} -1} – 1} + {{ 2 EXP {2 EXP {2 EXP {Σ[i = 1, f(Aleph 1)] m1i, f(Aleph 1)}} -1}} – 1} + {{2 EXP { 2 EXP {2 EXP {2 EXP {Σ[i = 1, f(Aleph 1)] m1i, f(Aleph 1)}} -1}} – 1}} and so-on forever }} -1
The number of associated features or characters within the singularity-sensitive life-temporal axis system for level 3 super-continuous psyches or souls is roughly {{2 EXP {Σ[i = 1, f(Aleph 2)] m1i, f(Aleph 2)}} -1} + {{2 EXP {2 EXP {Σ[i = 1, f(Aleph 2)] m1i, f(Aleph 2)}} -1} – 1} + {{ 2 EXP {2 EXP {2 EXP {Σ[i = 1, f(Aleph 2)] m1i, f(Aleph 2)}} -1}} – 1} + {{2 EXP { 2 EXP {2 EXP {2 EXP {Σ[i = 1, f(Aleph 2)] m1i, f(Aleph 2)}} -1}} – 1}} and so-on forever. In reality, the actual number of features and characters is {2 EXP {{{2 EXP {Σ[i = 1, f(Aleph 2)] m1i, f(Aleph 2)}} -1} + {{2 EXP {2 EXP {Σ[i = 1, f(Aleph 2)] m1i, f(Aleph 2)}} -1} – 1} + {{ 2 EXP {2 EXP {2 EXP {Σ[i = 1, f(Aleph 2)] m1i, f(Aleph 2)}} -1}} – 1} + {{2 EXP { 2 EXP {2 EXP {2 EXP {Σ[i = 1, f(Aleph 2)] m1i, f(Aleph 2)}} -1}} – 1}} and so-on forever }} -1
In general, the number of associated features or characters within the singularity-sensitive life-temporal axis system j level one super-continuous psyches or souls is roughly {{2 EXP {Σ[i = 1, f(Aleph (j -1) )] m1i, f(Aleph (j -1))}} -1} + {{2 EXP {2 EXP {Σ[i = 1, f(Aleph (j -1))] m1i, f(Aleph (j -1))}} -1} – 1} + {{ 2 EXP {2 EXP {2 EXP {Σ[i = 1, f(Aleph (j -1))] m1i, f(Aleph (j -1))}} -1}} – 1} + {{2 EXP { 2 EXP {2 EXP {2 EXP {Σ[i = 1, f(Aleph (j -1))] m1i, f(Aleph (j -1))}} -1}} – 1}} and so-on forever. In reality, the actual number of features and characters is {2 EXP {{{2 EXP {Σ[i = 1, f(Aleph (j -1) )] m1i, f(Aleph (j -1))}} -1} + {{2 EXP {2 EXP {Σ[i = 1, f(Aleph (j -1))] m1i, f(Aleph (j -1))}} -1} – 1} + {{ 2 EXP {2 EXP {2 EXP {Σ[i = 1, f(Aleph (j -1))] m1i, f(Aleph (j -1))}} -1}} – 1} + {{2 EXP { 2 EXP {2 EXP {2 EXP {Σ[i = 1, f(Aleph (j -1))] m1i, f(Aleph (j -1))}} -1}} – 1}} and so-on forever }} -1 where j = 4, 5, 6, …,Omega, …,Aleph 0,…, Aleph 1, … Aleph 2, …, Aleph Omega, …, Aleph (Aleph 0),…, Aleph (Aleph 1), .., Aleph (Aleph 2),…, Aleph (Aleph (Omega)), …, Aleph (Aleph (Aleph 0)),…, Aleph (Aleph (Aleph 1)), .., Aleph (Aleph (Aleph 2)), and so on utterly ad infinitum worlds without end amen.
Now since each human psyche, or more generally each human soul, has all manner of forms and types of feelings which evolve, intermingle, interact, and intra-act with each other and themselves, the number of parallel horizontal axes and thus the richness of the human heart, sensitive life, and soul is commensurately super-abundantly infinitely greater yet.
I even say this as a large bulky middle aged man whose moods good and bad seem to slowly evolve and come and go. When my mood is good and even manic as a result of excessive caffeine use, this is great fun which can last quite a while. When my mood is flat, life can be a real bore. When my mood is depressed which it can be at times, I tend to turtle under my covers and sleep the daylight hours away. So much for cyclothymic physicist and amateur armchair theologian with sluggish moods! At least, I am no longer physically as sluggish as I used to be. After all, I did a 88 minute cross-county style walk today at a weight of 365 pounds in hilly terrain without a single break. My mood is a little elevated tonight, and so I should hold off on using any more diet Coke this evening.
The human heart and mind is so complex that even in Heaven after the Final Resurrection, we may never even begin to fully understand the existential and ontological richness and sizes of our souls, hearts, and minds. However, we have all eternity to grow and evolve existentially and ontologically and to contemplate our internal wonders, those we love by special familial, marriage, or non-familial friendship bonds, and indeed also among all of the elect in Heaven.
Our heart life and emotions, affects, feelings, moods, attitudes, are sacred and awesomely existentially and ontologically rich and by corollary, even far more so is our overall psyche and soul by which the former are contained or a sub-portion thereof.
So enjoy and respect your emotions, affects, feelings, moods, attitudes. They will be with you and a part of who you are for all eternity and will be Resurrected in an exalted manner in nature and in grace at the Final Resurrection.
Regards;
Jim
Copyright James M. Essig January 24, 2011 All Rights Reserved
January 25, 2012 at 8:22 pm |
first…how long did it take you to write that all out. secondly, do you have this summarized in layman’s terms?
January 26, 2012 at 9:57 am |
Hi JimK (@odessabo) Says:
Thanks for commenting and for asking. Basically, it took me an entire afternoon to compose the above post although I adopted some of the text from one of my previous post to modify it. However, most of the prose was newly composed.
In layman terms, I assume that since the human soul is non-physical, the variabilty of its accidental composition and faculties is at the very least continuous . Physicists will often balk at localized infinite quantities whether large or infinitesinal because such quantities are held to be not very physical and therefore not very real. The human soul however, regardless of whether or not its natural immortality is universally gratuitously bestowed or due to its inherent natural incorruptability may be continuously variable.
Some functions such as cos (theta), e [EXP i (theta)], and the like have non-zero arbitrarilly iterated derivatives including infinitely iterated derivatives. If you familiar with calculus, you will note that lots of trigonometric functions in fact infinitely many of them in form and type have non-zero infinite order derivatives. while many other funtions yeild zero even for small numbers of iterated differentiations.
Perhaps certain time derivatives of various aspects of the human soul have likewise non-zero infinite order derivatives to the extent that a temporal interval of the soul’s behavior could be approximated by a composition or compounding of functions such as cos (theta), e EXP [i (theta)].
While the above post is merely conjectural, I am writting it from the standpoint commensurate with the paraphrase of Sacred Scripture in the Old Testimate of “Who but the Lord GOD can fathom the complexity of the human mind? Who but the Lord GOD can comprehend the tangled workings of the Human Heart?…”
I plan to eventually post of the subject of qualitative or non-quantitative, non-mathematical derivatives of psychodynamic processess within the human soul, likely within a few weeks. These non quantitative derivatives would be the qualitative analogue to mathematical quantitative derivatives.
I can provide you additional details in layman’s terms if you would like.
Best Regards;
Jim