Mathematical logic | Theorems in propositional logic | Intuitionism
In logic, Peirce's law is named after the philosopher and logician Charles Sanders Peirce. It was taken as an axiom in his first axiomatisation of propositional logic. It can be thought of as the law of excluded middle written in a form that involves only one sort of connective, namely implication. In propositional calculus, Peirce's law says that ((P→Q)→P)→P. Written out, this means that P must be true if there is a proposition Q such that the truth of P follows from the truth of "if P then Q". In particular, when Q is taken to be a false formula, the law says that if P must be true whenever it implies falsity, then P is true. In this way Peirce's law implies the law of excluded middle. Peirce's law does not hold in intuitionistic logic or intermediate logics and cannot be deduced from the deduction theorem alone. Under the Curry–Howard isomorphism, Peirce's law is the type of continuation operators, e.g. call/cc in Scheme. (Wikipedia).
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From playlist Life Science Math: Limits in calculus
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From playlist MECHANICS
Understanding the nature of a force as an interaction between objects is critical to success in a Newton's Laws unit. The What is a Force? Video Tutorial clarifies this concept through several examples. The distinction between contact forces and field forces is discussed. Newton's third la
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From playlist Classical Liberalism | Big Think
Probability & Statistics (6 of 62) De Morgan's Law Explained
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain De Morgan's Laws. Next video in series: http://youtu.be/ZuuXPW36OYU
From playlist Michel van Biezen: PROBABILITY & STATISTICS 1 BASICS
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Logic 1: Binary Propositions, De Morgan’s Law, What is an Implication — Tutorial 1/4
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This is a short excerpt from a lecture on C. S. Peirce's thought by Grant Franks. It is re-upload from the previous channel. Full lecture: https://youtu.be/6KeiPitz5QM More Short Clips: https://www.youtube.com/playlist?list=PLhP9EhPApKE8v8UVlc7JuuNHwvhkaOvzc #Philosophy #Epistemology #On
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This video covers the laws of limits and how we use them to evaluate a limit. These laws are especially handy for continuous functions. More theorems about limits are introduced in later videos. For more videos visit http://www.mysecretmathtutor.com
From playlist Calculus
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