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Compositional reasoning using intervals and time reversal
Compositional reasoning using intervals and time reversal

Basic Arithmetic Geometry Lucien Szpiro
Basic Arithmetic Geometry Lucien Szpiro

PRESERVING NEAR UNANIMITY TERMS UNDER PRODUCTS 1
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... The cunning of reason, in this essay and as a category, is more mathematical and psychological than philosophical. A skillful use of it depends heavily on a piece of mathematics to be taught and on the background of the student. The dependence can be three-folds. The first is the dependence on mathe ...
Preservation and destruction in simple refinements
Preservation and destruction in simple refinements

... remain submaximal under refinement. In fact, this is true of all submaximal spaces by a result of Arhangel’skiı̆ and Collins (see [2], Corollary 2.9; see also the stronger Theorem 2.13). There is a class of submaximal spaces that is easy to describe: every scattered space of rank 1 or 2 is submaxima ...
Numerical and Algebraic Expressions and Equations
Numerical and Algebraic Expressions and Equations

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A Deduction Method Complete for Refutation and Finite Satis ability

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On the Question of Absolute Undecidability

On different notions of tameness in arithmetic geometry
On different notions of tameness in arithmetic geometry

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Laws of Form

Laws of Form (hereinafter LoF) is a book by G. Spencer-Brown, published in 1969, that straddles the boundary between mathematics and philosophy. LoF describes three distinct logical systems: The primary arithmetic (described in Chapter 4 of LoF), whose models include Boolean arithmetic; The primary algebra (Chapter 6 of LoF), whose models include the two-element Boolean algebra (hereinafter abbreviated 2), Boolean logic, and the classical propositional calculus; Equations of the second degree (Chapter 11), whose interpretations include finite automata and Alonzo Church's Restricted Recursive Arithmetic (RRA).Boundary algebra is Dr Philip Meguire's (2011) term for the union of the primary algebra (hereinafter abbreviated pa) and the primary arithmetic. ""Laws of Form"" sometimes loosely refers to the pa as well as to LoF.
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