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Castalia: The Citadel of Reason

Book by Thomas Stark · 2 quotes · Ontological Mathematics, Nothing, Zero

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Castalia: The Citadel of Reason Quotes

“The PSR is reflected in points traveling in complex-numbered Euler circles where no point is privileged over any other. From this motion, we get sine and cosine waves, even and odd functions, symmetry and antisymmetry, orthogonality and non-orthogonality, phase, straight-line radii, right-angled triangles, Pythagoras’ theorem, the speed of mathematics (c), π, e, i, Fourier mathematics … and from all of that we get the whole of mathematics (eternal, necessary and mental; Being), and thus the whole of science (temporal, contingent and material; Becoming). And that is the whole universe explained. Nothing else is required. The PSR gives us mathematics, mathematics gives us science, and that’s all we need for the universe: science with a mathematical and rational core rather than with a material and observable core. What could be more rational and logical?”

ReasonPhilosophyOntological MathematicsPsrFourier MathematicsOccam S RazorPrinciple Of Sufficient ReasonEuler S Formula
Book:Castalia: The Citadel of Reason
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“The PSR gives rise to ontological mathematics, which is just the exploration of all the different ways in which x = 0 can be explored, and x can be any expression at all, provided it can ultimately be reduced to zero. There are infinite mathematical tautologies, all of which are consistent with the PSR and Occam’s razor. Nothing can be simpler in hypothesis than requiring everything to equal zero, and nothing could be richer in phenomena than this strict requirement since there are infinite ways to generate mathematical expressions that equal zero. So, the law of ultimate simplicity leads, inevitably, to endless variety ... all thanks to mathematics and the equals sign. There is no contradiction whatsoever between total simplicity and infinite variety ... that’s exactly why math is so powerful, and can produce the incredibly varied universe we live in ... all of which is simply “nothing” expressed in different ways. Is that not the ultimate miracle? But it’s not a miracle at all. It is the direct consequence of the PSR, hence is the most rational thing of all.”

PhilosophySimplicityZeroNothingRationalismOntological MathematicsPsrOccam S RazorPrinciple Of Sufficient Reason
Book:Castalia: The Citadel of Reason
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