Is Logic Invented Or Discovered
Mario Livio explores maths uncanny ability to describe explain and predict phenomena in the physical world. Maybe theres a sense in which its invented and a sense in which its discovered.
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Most Mathematicians have and will usually take the side of the two primary views regarding the nature of mathematics.
Is logic invented or discovered. Some form of logic is needed for the universe to work if there are any rules to the universe at all. Mathematics is an intricate entanglement or convolution of invention and discovery. Indeed I posit that humans invent the mathematical conceptsnumbers shapes sets lines and so onby abstracting them from the world around them.
If there is no logic in the universe then I cant imagine there being any rules either. Logic is the most fundamental form of a rule. Mathematics like logic is a formal system for the exploration of the implications of certain sets of axioms.
Surely long division was invented not discovered you would say. People live on this earth surrounded by many anonymities. Given a logic and a system of axioms there are guaranteed truths these I would call discovered when proven.
March 19 2013 at 1131 am ChadWooters Wrote. If thinking is applied correctly through accurate logic the brain makes accurate estimations with higher probabilities of being true. Knowledge is both invented and discovered.
This is the non-Platonist position. Some form of logic is needed for the universe to work if there are any rules to the universe at all. Surely we came up with our number system and we invented all the conventions and symbols we use.
Discovered Invented or Both. Whether an axiom system and a compatible logic are invented Im not sure what I would say but I dont think it would be unreasonable to argue that they are they are and at the very least they are specially selected to work with from an infinite number of options. Is Math Discovered Or Invented.
Why do you think belief preceded observation. Rational and Irrational numbers were defined and geometrical relationships were discovered- however more importantly there was the pioneering Pythagorean insistence on mathematical proof- a procedure based entirely on logical reasoning by which starting from some postulates the validity of any mathematical proposition could be unambiguously established 4. Those that marvel at the ubiquity of mathematical applications have perhaps been seduced by an overstatement of their successes.
Essay IS MATH A DISCOVERY OR AN INVENTION. The miracle of the appropriateness of the. If I hold a fork in one hand and a knife in another units are important then I have 2 utensils.
Logic is the most fundamental form of a rule. Stephen Wolfram who invented Mathematica answer that question. Arguments have been advanced in support of the conjecture posed at the start of.
In this article we are going to tackle if math was a discovery or an invention. People say things like Newton and Leibniz invented Calculus Someone invents a new algorithm for something. Logic is not invented.
The short answer to the question Invention or discovery is Yes. But the expression 112 is a model of that reality. 3 Math is not so successful.
And that my friend is the source of knowledge. No one can completely be certain when they claim that Mathematics was invented or discovered each side of the argument has its numerous reasons and because of this it is a very remarkable topic as there is no right answer. The idea of a universe that is inherently orderly is a necessary axiom for rational thought.
Mathematics is thus an invented logic exercise with no existence outside mankinds conscious thought a language of abstract relationships based on patterns discerned by brains built to use those patterns to invent useful but artificial order from chaos. Is math invented or discovered. Logic is a discipline derived from the belief in an orderly reality capable of being understood.
Mathematics is not discovered it is invented. Aristotle would have been in this camp. If our ways of thinking are more fundamental it is invention.
A leading astrophysicist suggests that the answer to the millennia-old. And to counter. Discuss the claim that some areas of knowledge are discovered and others are invented By Olivia Emans In my opinion an invention may be defined as a new device method or process developed from study and experimentation whereas a discovery is an act or process of finding something or somebody or learning about something that was not known about before.
Is logic invented or discovered. This is discovered I guess. If there is no logic in the universe then I.
In order to answer a lot of queries about the world we tend to seek solutions for it and math is the best solution. If metaphysics is more fundamental to the domain of logical truths it is a matter of discovery. Logic is not invented.
That is it is a system that models what we see. Much of logic is easily demonstrable. The repeated human experience of cause and effect at least partially contributed to the creation of logic and with it the notion that certain statements imply the validity of others.
Mathematics as humans practice it is based on a handful of particular axioms system each in effect defining a certain field of mathematics say logic or group theory or geometry or set theory. It seems to me that from the perspective of the absolute logic was discovered not invented and mathematics was invented not discovered but from the perspective of the transient part that is man both logic and mathematics were discovered not invented. Answered 8 years ago.
Personally I believe that by asking simply whether mathematics is discovered or invented we forget the possibility that mathematics is an intricate combination of inventions and discoveries. There are properties of reality. For a given set of axioms the implications are implicit.
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