academic freedom Education Epistemology (the study of knowledge and its conditions) Mathematics Politics/policy and origins issues

Radical Constructivism, Naturalistic Scientism and Math Education — ideas have consequences

In the thread on Jonathan Bartlett and priorities for Math education, I raised two comments that I think it would be profitable to further reflect on. First, from 33 on how the US National Academy of Sciences tried to classify Mathematics as a “science”: https://services.math.duke.edu/undergraduate/Handbook96_97/node5.html The Nature of Mathematics (These paragraphs are reprinted with permission […]

Intelligent Design Mathematics Mind

Can a simple triangle disprove materialism?

Edward Feser: When we grasp that formal nature of being a triangle, we are grasping something that is totally abstract. It applies to every single triangle that has existed, does exist, will exist or, for that matter, could exist, whether it is a triangle drawn in ink, whether it is a triangle drawn in sand, whether it is a triangle you construct by putting three sticks together, whether it is a triangle formed by the side of a pyramid, the idea or the concept is entirely abstract.

Back to Basics of ID Entropy Food for thought Functionally Specified Complex Information & Organization Logic and First Principles of right reason Mathematics thermodynamics and information

Time’s arrow, the design inference on FSCO/I and the one root of a complex world-order (–> Being, logic & first principles, 25)

On August 7th, News started a discussion on time’s arrow (which ties to the second law of thermodynamics). I found an interesting comment by FF: FF, 4: >> It’s always frustrating to read articles on time’s arrow or time travel. In one camp, we have the Star Trek physics fanatics who believe in time travel […]

Culture Darwinism Intelligent Design Mathematics

Mathematicians challenge Darwinian evolution

“Has Darwinism really failed? Peter Robinson discusses it with David Berlinski, David Gelernter, and Stephen Meyer, who have raised doubts about Darwin’s theory in their two books and essay, respectively The Deniable Darwin, Darwin’s Doubt, and “Giving Up Darwin” (published in the Claremont Review of Books). ” When this stuff is happening, Darwinism is on the outs culturally.

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 […]