Introduces students to ideas and techniques from discrete mathematics that are widely used in science and engineering. Mathematical definitions and proofs are emphasized. Topics include formal logic ...

Synthese spans the topics of Epistemology, Methodology and Philosophy of Science. Coverage includes the theory of knowledge; general methodological problems of science, of induction and probability, ...

Mathematical logic, set theory, lattices and universal algebra form an interconnected framework that underpins much of modern mathematics. At its heart, mathematical logic provides rigorous formal ...

One of the great discoveries of 20th century mathematics was that any dispute about the validity of a mathematical proof can always be resolved. That is the case put forward by the English ...

1 Apply the basic principles of mathematical logic. 2 Construct and analyse mathematical proofs. 3 Apply the principles of set theory, functions and relations. 4 Apply the principles of abstract ...

Presents propositional logic, combinatorics, methods of proof, mathematical systems, algebra of sets, matrix algebra, relations and functions, recursion and generating functions, applications to ...

This is a preview. Log in through your library . Abstract The Tractatus contains two different proofs of the Grundgedanke, or the nonreferentiality of logical constants. In this paper, I explicate the ...

For thousands of years, mathematicians have adapted to the latest advances in logic and reasoning. Are they ready for artificial intelligence? By Siobhan Roberts In the collection of the Getty museum ...