discrete mathematics course notes

Sets: union, intersection, difference, power set, algebraic laws. Functions: injectivity & surjectivity, composition & inverse. Relations, equivalence re-.

www.cs.ox.ac.uk·688.4 KB

Connectives. • ¬p: the negation of statement p. • p ∧ q: the conjunction of statements p and q. – “p and q.” • p ∨ q: the disjunction of statements p and q.

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1. A proof must always begin with an initial statement of what it is you intend to prove. It should not be phrased as a textbook question ( ...

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Inductive reasoning is often called statistical (or probabilistic) reasoning, and forms the basis of experimental science. Inductive reasoning is important to ...

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A mathematical proof is an argument which convinces other people that something is true. Math isn't a court of law, so a “preponderance of the.

math.berkeley.edu·173.9 KB

Fuzzy logics provide the basis for logical systems dealing with vagueness, e.g. for formalising common natural language predicates such as “tall” or “fast”.

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The method, based on hierarchical structuring, is simple and practical. Page 4. Contents. 1 Mathematical Proofs. 1. 2 An Example.

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This course serves as an introduction to formal logic. Formal logic aims to represent certain aspects of human reasoning in a formal (symbolic) language.

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Writing mathematical proofs is, in many ways, unlike any other kind of writing. Over the years, the mathematical community has agreed upon a number of more ...

sites.math.washington.edu·95.0 KB

The rules of logic give precise meaning to mathematical statements. These rules are used to distinguish between valid and invalid mathematical arguments.

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