We proved that all the usual things are equivalent to the axiom of choice: Zorn’s lemma, the well ordering principle, cardinal comparability (given two sets, one must inject into the other), and the ...

Psychologists generally define forgiveness as a conscious, deliberate decision to release feelings of resentment or vengeance toward a person or group who has harmed you, regardless of whether they ...

This important paper takes a novel approach to the problem of automatically reconstructing long-range axonal projections from stacks of images. The key innovation is to separate the identification of ...

Topological insulators are materials that are insulating in their interior but can support the flow of electrons on their surface. The underlying cause is time-reversal symmetry: their physics is ...

This is joint work with Peter Selinger. Speaker: John Baez Title: 2-Rigs in topology and representation theory Abstract: A rig is a “ring without negatives”. There are many ways to categorify this ...

James Chen, CMT is an expert trader, investment adviser, and global market strategist. David is comprehensively experienced in many facets of financial and legal research and publishing. As a ...

Is There a Standard Definition of Income? The definition of income depends on the context in which the term is used. For example, tax law uses the concepts of gross income, which includes all ...