Glossary

Big Bang

The formation of fractional sinusoids from complete sinusoids.

Compatibilism

Subjective and objective causation are compatible with each other.

Compossibility

Anything possible individually must also be possible collectively.

Cosine wave

A wave that repeats its values at regular intervals with a shape determined by the trigonometric cosine function.

DNA

The mathematical code that links our individual mind with the collective mind.

Energy

The process of moving around a circle.

Euler's formula

eix = cos x + i sin x

Euler's formula (generalised version)

A ei(fx + Φ) = A cos (fx + Φ) + i A sin (fx + Φ)

Falsification principle

A statement is meaningful only if it can be empirically proven wrong. The principle itself is unfalsifiable.

Flowing point

The smallest possible ontological number.

Fourier series

The application of the Fourier transform to periodic functions.

Fourier transform

The process of decomposing a waveform into its constituent parts.

Free will

The deterministic choices we make according to our subjective (internal) criteria.

Gödel's incompleteness theorems

Axiomatic and logicist explanations of mathematics are inconsistent or incomplete. Mathematics itself is always consistent and complete.

Infinity

The highest possible abstract number.

Light

Mathematics.

Matter

A collection of fractional sinusoids.

Mind

A collection of complete sinusoids.

Monad

A collection of sinusoidal waves.

Multiverse

Everything that can happen will happen. Refuted by Occam's razor.

Myriad

The largest possible ontological number.

Occam's razor

The simplest explanation is always the most plausible and preferred.

Ontological mathematics

The study of points in rational motion.

Orthogonal

Decoupled.

Photon

A standing wave.

Planck's constant

The flowing point.

Principle of Sufficient Reason

Nothing happens unless there is a reason for it to happen.

Reality principle

Things must be objectively real in all circumstances, regardless of subjective observation.

Selector Function

The logical (i.e. non-ontological) root of consciousness that determines what we are paying attention to.

Sinusoid

Alternative term for sinusoidal wave.

Sinusoidal wave

A wave that repeats its values at regular intervals with a shape determined by the trigonometric sine function.

Soul

A monad.

Space

A measurement of motion through real space.

Spacetime

The arena of dynamically and inversely coupled real and imaginary space.

Speed of light

The speed at which all points move around all circles: 1.

Tensed time

The present moment is all that ever exists. The past has already happened and the future is yet to happen.

Tenseless time

The past, present and future have always existed; reality is timeless and unchanging.

Thought

A sinusoidal wave.

Time

A measurement of motion through imaginary space.

Universe

The entire collection of points in rational motion.

Verification principle

A statement is meaningful only if it can be empirifically verified. The principle itself is unverifiable.

Wave

A repeating pattern.

Wavelength

Outside space: 360 degrees (2π radians).

Zero

The smallest possible abstract number.