The aim of the course is to render students of philosophy familiar with the elements of naive set theory, classical logic, and modal logic. From set theory, the course covers both ‘working’ set theory ...

Many levels of infinity The mysteries of infinity could lead us to a fantastic structure above and beyond mathematics as we know it WHEN David Hilbert left the podium at the Sorbonne in Paris ...

An icon in the shape of a lightning bolt. ... the modern set theory axioms are still sufficiently flexible that, combined with the rules of formal logic, ...

Teaching students about logic gates is often done in two parts, once on the whiteboard for the theory, and again on the breadboard for the practice. [shurik179] wasn’t a fan of the abstractio… ...

Areas of expertise Axiomatic Set Theory: strong axioms of infinity & large cardinals; interactions with the determinacy assumptions on infinite perfect information games; singular cardinal ...

There are inherent limits to logic that can’t be resolved, and they bedevil our minds too, says Noson Yanofsky in The Outer Limits of Reason “THIS sentence is false.” This sentence is also ...

The aim of the course is to help students of philosophy become familiar with naive set theory, classical logic, and modal logic. From set theory, the course covers ‘working’ set theory as a tool for ...