Posted by: Dr Churchill | August 7, 2016

Influence of Mathematics on Philosophy

Mathematics has some profound philosophical implications.

English Modern Era Philosopher extraordinaire, Bertrand Russell, concluded from his study of the history of philosophy, that Mathematics is the chief source of the belief in eternal, external, and exact truth; as well as in a super-sensible intelligible world.

Russell argues, that this is so, because of the abstract nature of mathematical concepts, and he traces this to the early history of Philosophy where the ancient Greeks though hard and long about those timeless Questions.

Pythagoras, who found the school of thought of Mathematics and Geometry as Philosophy — a school of Thought that deals with complex theorems and their insoluble solutions, gave us the famous dictum of the “exact circle” although no physical object is now, or could ever be, exactly circular…

This suggests that exact circles are only idealized noetical, theoretical, or neural inventions, and that this fanciful fantasy is a byproduct of Reason and Logic that applies to ideal, rather than physical, objects.

Furthermore, numbers have all of these qualities as well being well serving “Inventions” that appear to be time-independent, or timeless.

Hence mathematics by definition and invention, seems to want deal with an ideal, eternal, and inalienable world, of pure thought.

Ergo philosophy…

But where and how do such mathematical entities exist?

But where and how do such mathematical entities exist?

Methinks — they exist within our own very lives.

Today and tomorrow and the day after, same as they exist in all of our tomorrows…

Yet the very existence of eternal, ideal mathematical thoughts, seems to require the existence of something actual upon which they are tethered or the scaffolding upon which they exist. Because much like the mortal coil we are, we see, and we inhabit, is based upon the unseen Soul and the Spirit — so is each and every number based upon the unseen and hardly understood Unity of the Infinity and Eternity, as the Understanding beyond Understanding.

And as Philosophical thought progressed, several centuries after the early “Pure Thought” Greek Philosophers — we come upon the early monotheistic and christian philosophers Philo (ca 20 BC – ca 50 AD) and Augustine (354-430) respectively, who placed the ideal world of eternal truths in the mind of the Godhead.

Augustine argued that mathematics implied the existence of an eternal, necessary, infinite Mind, in which all necessary truths exist. He asserted that we all know timeless and time-independent truths about logic (e.g., A = A) and mathematics(e.g., 2+2=4) but our comprehension of Infinity does not go much further than that…

Still those truths stand as things for the “limited” human historical time, but not for anything resembling eternity or even infinity. Because the always changing, always evolving, entropy ladden material things, can’t stand, let alone cause, … fixed, eternal truths.

Nor can the finite human minds, fully understand them — since our thinking of them, does not make them true, but is rather, judged by them.

Thus “ultimate truth” must derive from something non-material that is superior to the human mind.

Mathematical truths therefore, must depend on a universal and unchanging source.

A “Source” a “Spirit” an “Entity” that embraces all truth in its unity and in whose Understanding we shall all thrive.

Such a Truth must exist…

And maybe its definition is exactly what we call God.

This is the source of the Divine Spirit today.





And by the way,

We do have the so called “Divine Algorithms” to prove it.

Einstein has also given us “proof” and some additional food for thought.

Do you want me to elaborate?

The Churchill Society will hold a Symposium on this subject shortly and we want to invite Thought Leaders and modern philosophers to participate.

You can apply herewith…

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