Big Bang Cosmology Epistemology (the study of knowledge and its conditions) Logic and First Principles of right reason Mathematics

Logic & First Principles, 17: Pondering the Hyperreals *R with Prof Carol Wood (including Infinitesimals)

Dr Carol Wood of Wesleyan University (a student of Abraham Robinson who pioneered non-standard analysis 50+ years ago) has discussed the hyperreals in two Numberphile videos: First: Extended: Wenmackers may also be helpful: In effect, using Model Theory (thus a fair amount of protective hedging!) or other approaches, one may propose an “extension” of the […]

Chemistry Logic and First Principles of right reason Mathematics matter, thus atoms, ions, molecules, phases etc

Burning a brick in Fluorine — physical/chemical properties in action

In the demonstration below, a bit of acetone has been put on the corner of the brick to get the process started: This demonstrates the remarkable effects of inherent, embedded, intelligible structural, quantitative properties of fluorine and other elements and molecules. With lesser materials, we can see similar, even more spectacular effects: Notice, the table […]

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.