Logic and First Principles of right reason Mathematics Philosophy Science, Mathematics, Philosophy and (Natural) Theology

Logic and First Principles, 15: On the architecture of being. Or, are certain abstract entities (“abstracta”) such as numbers, natures, truth etc real? If so, how — and where?

For some weeks now, an underlying persistent debate on the reality of numbers has emerged in several discussion threads at UD. In part, it has been cast in terms of nominalism vs platonic realism; the latter being the effective view of most working mathematicians. Obviously, this is a first principles issue and is worth focussed […]

Atheism Epistemology (the study of knowledge and its conditions) evolutionary materialism's self-falsification Fine tuning Intelligent Design Logic and First Principles of right reason Mathematics

Logic and First Principles, 13: The challenge of creeping scientism (and of linked nominalism)

There is a creeping scientism in our intellectual climate. We have been led to think that Science is the gold standard of reliable, substantial knowledge and that institutional science and its leaders are the curators of knowledge. This is of course deeply connected to the wider domination of evolutionary materialistic scientism, which compounds the above […]

Culture Darwinism Intelligent Design Mathematics

Jerry Coyne on how mathematician John Lennox embarrasses himself

We recommend you listen to the podcast, watch the video, and ignore Jerry. In fairness, he has got at least as far as realizing that anti-Semitism is a problem among the raging Woke. We can’t ask for more than that just now. It’s hard for a Darwinian to understand a mathematician anyway. We’ve seen it a few times before. Something about things adding up.

Biophysics Logic and First Principles of right reason Mathematics Video warrant, knowledge, science and belief

Hearing, the cochlea, the frequency domain and Fourier’s series

In recent weeks, we have seen repeated attempts to suggest that Mathematics is essentially a mind game we make up as an aspect of culture. There has been a very strong resistance to the idea that there are intelligible manifestations of structure and quantity embedded in the fabric of the world (and indeed in that […]

Logic and First Principles of right reason Mathematics popular science and science education Science, Mathematics, Philosophy and (Natural) Theology Video

The Fourier series & rotating vectors in action (with i lurking) — more on the mathematical fabric of reality

The Fourier series is a powerful technique that can be used to break down any repeating waveform into sinusoidal components, based on integer number harmonics of a fundamental frequency: Video: This is already amazing, that by summing up harmonically related sinusoids (with suitable amplitudes and lagging) we can analyse any repeating waveform as a sum […]

Logic and First Principles of right reason Mathematics Selective Hyperskepticism

Simple demonstrations of how structure and quantity are embedded in the world

As there seems to be resistance to the point that the world embeds structure and quantity (thus, mathematical features) I think it is useful to provide some simple reminders. The Egyptian rope trick and the 3-4-5 Pythagorean triplet, thus a right angle forced through a numerical relationship (and note the power of the number twelve […]

Logic and First Principles of right reason Mathematics Physics

Logic & First Principles 8: Bridging the Wigner MATH-PHYSICS GAP (with help from phase/ configuration/ state space)

In order to conceptually bridge the Wigner MATH-PHYSICS GAP, it is helpful to see how deeply embedded quantitative and structural properties are in the physical world. The phase space approach is helpful, and a vid on how colliding blocks compute digits of pi (under ideal circumstances) will help. The vid: It helps to look at […]