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Published on Apr 23, 2016
It is time to end the delusion which pervades modern 20th century style mathematics, and move towards a true mathematics for the new millennium. Infinity needs to go!
We need to accept the actual reality of mathematics, rather than some fairy-tale wishful dreaming that allows us to prop up analysis and topology. We need to return to the central role of explicit examples and concrete computations, supported by clear and complete thinking that can be acknowledged as such by all!
In this video we talk about various grammatical dodges that the defenders of infinity hide behind, and for an alternative introduce the Law of (Logical) Honesty. The job ahead of us is huge-- especially for young mathematicians: to create a new and viable mathematics that really does make complete logical sense, that connects directly with what our computers can do, and that can be understood and expressed clearly and completely, without religious (ie axiomatic) assumptions.