MacKenzie Cumings

Logic and Math

A Logic Calculator. Test if an argument is valid or invalid. Generate truth tables. Find counterexamples. etc.
Definitions from Quine's Mathematical Logic. See how basic mathematical constructs can be reduced to statements about sets and classes.
Possible Worlds Semantics for Second-Order Modal Logic. An unfinished attempt to define logic in terms of possible worlds.
Probability in Light of Independent Testimony for Mutually Exclusive Possibilities. How to calculate probability from conflicting and corroborating testimony (under certain circumstances).
Arguing Modus Tollens with Conditional Probabilities in Place of Conditionals. What additional premises are needed to make that form of argument valid, and how it might be used. The full text of the accepted version is available here.

Javascript drum machine.
Musical Interval Explorer. Hear arbitrary harmonic intervals and chords in any tuning in your browser.
Musical Ratio Explorer. Analyze ratios. Calculate their prime factors. Calculate intervals between ratios. Visualize them within a musical scale.