This exploration of induction and philosophy of mathematics is presented as a look "under the hood" at the process of mathematical theorizing, a detailed view of how the process of induction actually works. It also provides an alternative to the mind-numbing constructs of modern logic, mathematics, and set theory, explaining the true nature of zero and empty sets and revealing the flaw in Cantor's writings on infinity. There are original ideas here, including the author's view that zero and the empty set function as "operation blockers," as well as his explanation of why the value of the zero...
This exploration of induction and philosophy of mathematics is presented as a look "under the hood" at the process of mathematical theorizing, a detai...
As the author shows, thinking is not an automatic process known to everyone "instinctively," but an acquired skill; and - like every human skill - it involves certain principles which have to be identified and learned. She discusses these principles in detail and spells out the specific techniques for avoiding thinking errors and maximizing the productiveness of one's mental effort.
As the author shows, thinking is not an automatic process known to everyone "instinctively," but an acquired skill; and - like every human skill - it ...
