By William Veatch

Math with no Numbers - the maths of rules, Vol. 1 Foundations. This quantity 1 within the “Math with no Numbers” sequence explores the character of rules, from either a pragmatic and an summary mathematical viewpoint. The ebook demonstrates that arithmetic can clarify “how” we predict, yet can't let us know “what” to imagine or the way to act. the writer applies rules of Set idea to principles, and illustrates how rules shape buildings which are famous within the box of arithmetic, together with Partitions/Equivalence periods, teams, Boolean Algebras, jewelry, Lattices, and Topologies. The e-book touches on good judgment, Argumentation, and Debate, that are issues that may be explored intimately in Volumes 2 and three.
The dialogue is unique and available, and contains fabric acceptable for a person with a historical past in easy highschool math, in addition to extra complex fabric for these searching for a problem. The e-book starts off at an introductory point, yet proceeds to debate extra complicated fabric for these attracted to making language extra certain and unambiguous.
Much of the focal point is on Lattices and Boolean Algebras/Rings, as utilized to principles instead of numbers. there are various similarities to the quite new box of arithmetic referred to as Formal thought research, even though Math with no Numbers makes a speciality of development a starting place in Set conception and Logic.
This e-book is meant for an individual attracted to Set thought, the Philosophy of arithmetic, the Philosophy of Language, serious pondering, good judgment, and/or man made Intelligence. those that like fixing note puzzles will benefit from the Math with out Numbers sequence, which makes an attempt to resolve one of many maximum puzzles of all time: the math of Ideas.

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