William Shatner's IDU: Where Did Math Come From?
YouTube never recommended any of these to me. Isn't that amazing! I found the list by accident on the RT America channel page, ...
Subscribe to RT America.
The answer, I think, is that it is both discovered and invented. It is a language we invented to describe certain aspects of the real world that we observe as phenomena, whether directly, in sense-perception or indirectly, when we interpret information provided to our senses by scientific measurements which we make using apparatus (instruments) which we design using our (hopefully scientific) understanding of cause and effect in the real world. Logic then is something we abstract from this process, and it gives us the formal conditions which necessarily must hold if we are to be able to understand anything at all about our world.
See Penelope Maddy's Journal of Symbolic Logic paper How applied mathematics became pure:
My goal here is to explore the relationship between pure and applied mathematics and then, eventually, to draw a few morals for both. In particular, I hope to show that this relationship has not been static, that the historical rise of pure mathematics has coincided with a gradual shift in our understanding of how mathematics works in application to the world. In some circles today, it is held that historical developments of this sort simply represent changes in fashion, or in social arrangements, governments, power structures, or some such thing, but I resist the full force of this way of thinking, clinging to the old school notion that we have gradually learned more about the world over time, that our opinions on these matters have improved, and that seeing how we reached the point we now occupy may help us avoid falling back into old philosophies that are now no longer viable. ...
Comments
Post a Comment