Philosophy of mathematics | Paraconsistent logic | Proof theory

Paraconsistent mathematics

Paraconsistent mathematics, sometimes called inconsistent mathematics, represents an attempt to develop the classical infrastructure of mathematics (e.g. analysis) based on a foundation of paraconsistent logic instead of classical logic. A number of reformulations of analysis can be developed, for example functions which both do and do not have a given value simultaneously. Chris Mortensen claims (see references): One could hardly ignore the examples of analysis and its special case, the calculus. There prove to be many places where there are distinctive inconsistent insights; see Mortensen (1995) for example. (1) Robinson's non-standard analysis was based on infinitesimals, quantities smaller than any real number, as well as their reciprocals, the infinite numbers. This has an inconsistent version, which has some advantages for calculation in being able to discard higher-order infinitesimals. The theory of differentiation turned out to have these advantages, while the theory of integration did not. (2) (Wikipedia).

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From playlist Parametric Equations

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From playlist Calculus

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From playlist CALCULUS 2 CH 17 PARAMETRIC EQUATIONS

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From playlist Mathematical Shenanigans

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From playlist Logic

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Visit my website: http://bit.ly/1zBPlvm Subscribe on YouTube: http://bit.ly/1vWiRxW Hello, welcome to TheTrevTutor. I'm here to help you learn your college courses in an easy, efficient manner. If you like what you see, feel free to subscribe and follow me for updates. If you have any que

From playlist Calculus 1

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From playlist Calculus 2

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From playlist Engineering

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From playlist Programming

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From playlist CALCULUS 3 CH 3.3 VECTOR CALCULUS IN 3-D

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From playlist Mathematics (All Of It)

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From playlist Number Theory

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From playlist Celebration of Mind 2021

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Paraconsistent logic | Mathematical analysis | Classical logic | Mathematics