Mathematics and Logic
Mathematics and Logic form the underlying rules of order for the universe. Similar to time, these inevitable concepts exist outside of the physical universe, yet every movement of every atom is governed by them.
Logical Fallacies
Understanding the common logical fallacies used in debate will help you maintain your sanity should you participate in social media, or even an old fashioned face-to-face conversation.
See the Critical thinking page for more on logical fallacies and cognitive bias.
Formal Versus Informal Logic
Formal logic is required to create mathematical and philosophical proofs that are reasoned from first principles and designed to stand up to the scrutiny of fellow academics.
Informal logic is designed for everyday discourse designed for public consumption. It employs reasoning and avoids fallacy, but allows for making simpler assumptions and use of natural language instead of symbolic formulas.
The metaculture wiki uses informal logic, but it also provides references to academic sources for any theoretical assertions, distinguishes between metanarrative, cited philosophy and science that has been proven elsewhere. There are no real proposed hypotheses that would require proving. It should be well reasoned and factually accurate enough to not be objectionable to academics, even if they wouldn't consider it worthy of their peer review.
Transcendent Logic
Math and logic are inevitable, in that it is impossible to conceive of a universe that does not abide by their rules.
Given these properties of math and logic, many theologians have attributed the transcendent aspect of god to them. If god is not logic itself, logic is almost always a property of god. [1][2][3]
The principles of math and logic, as well as emergence, can be thought of as the transcendent aspect of a pantheistic or panentheist god, in that they exist within the materialist concept of the universe, play an essential role in creation and evolution, but are not matter or energy, nor are they supernatural. In metaculture, this is represented by the fractal.
See the metanarrative of everything for a short story about how these ideas fit together.
What If You Hate Math?
Hate math and want to turn it against itself? See Gödel.
Videos, the Logical Next Section
This is a trailer for a course on logic, but it really nails the wonder and importance of the subject.
The Let's Get Logical channel is here for you if you're ready to deep down the logic hole.
There's 99 more of these in the playlist if you want to cram 100 days of logic into 9,000 seconds. Carneades.org is a great online resource for learning philosophy.
Darren Aronofsky's debut Pi is one of the best films ever made exploring the relationship between math, spirituality, chaos theory, and reality. Not that there are many others.
Mathematical Music
Music theory says that all of music is mathematics.