Logic studies the principles of valid thought, structuring rules and methods that help evaluate the consistency and validity of arguments, deductions, and propositions. Modern mathematics is built ...

It reveals how mathematical structures underpin artistic creativity across time and cultures, and makes an argument that the "logic of mathematics and the emotional world of art are not opposites ...

Mathematics ... outside the world of Renaissance perspective. But it’s worth asking whether Renaissance art may have made easier to make that initial leap. An interesting modern case of art ...

With mathematical logic as we know it, there is simply no way of finding out which sort of world we occupy ... approach while investigating particular patterns of real numbers that pop up in ...

The new research, published in the Journal of Machine Learning Research, takes an innovative “axiomatic approach” to defining ...

For thousands of years, mathematicians have adapted to the latest advances in logic and reasoning ... Euclid’s text was the paradigm of mathematical argumentation and reasoning.