Paradox and Type theory

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Paradox and Type theory

Paradox vs. Type theory

A paradox is a statement that, despite apparently sound reasoning from true premises, leads to an apparently self-contradictory or logically unacceptable conclusion. In mathematics, logic, and computer science, a type theory is any of a class of formal systems, some of which can serve as alternatives to set theory as a foundation for all mathematics.

Similarities between Paradox and Type theory

Paradox and Type theory have 5 things in common (in Unionpedia): Logic, Predicate (mathematical logic), Russell's paradox, Set theory, Stanford Encyclopedia of Philosophy.

Logic

Logic (from the logikḗ), originally meaning "the word" or "what is spoken", but coming to mean "thought" or "reason", is a subject concerned with the most general laws of truth, and is now generally held to consist of the systematic study of the form of valid inference.

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Predicate (mathematical logic)

In mathematical logic, a predicate is commonly understood to be a Boolean-valued function P: X→, called the predicate on X. However, predicates have many different uses and interpretations in mathematics and logic, and their precise definition, meaning and use will vary from theory to theory.

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Russell's paradox

In the foundations of mathematics, Russell's paradox (also known as Russell's antinomy), discovered by Bertrand Russell in 1901, showed that some attempted formalizations of the naïve set theory created by Georg Cantor led to a contradiction.

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Set theory

Set theory is a branch of mathematical logic that studies sets, which informally are collections of objects.

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Stanford Encyclopedia of Philosophy

The Stanford Encyclopedia of Philosophy (SEP) combines an online encyclopedia of philosophy with peer-reviewed publication of original papers in philosophy, freely accessible to Internet users.

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The list above answers the following questions

What Paradox and Type theory have in common
What are the similarities between Paradox and Type theory

Paradox and Type theory Comparison

Paradox has 96 relations, while Type theory has 112. As they have in common 5, the Jaccard index is 2.40% = 5 / (96 + 112).

References

This article shows the relationship between Paradox and Type theory. To access each article from which the information was extracted, please visit:

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