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The Foundations of Arithmetic
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#	Item
11	Heylighen F[removed]): "A Structural Language for the Foundations of Physics", International Journal of General Systems 18, p[removed]A Structural Language for the Foundations of Physics FRANCIS HEYLIGHEN Add to Reading List Source URL: pespmc1.vub.ac.be Language: English - Date: 2014-05-02 12:27:43 Constructible universe Ordinal number Quantum logic Dimensionless physical constant Function Abstraction Net Predicate Ordinal arithmetic Mathematics Mathematical logic Logic
12	Heylighen F[removed]): "A Structural Language for the Foundations of Physics", International Journal of General Systems 18, p[removed]A Structural Language for the Foundations of Physics FRANCIS HEYLIGHEN Add to Reading List Source URL: pespmc1.vub.ac.be Language: English - Date: 2014-05-02 12:27:43 Constructible universe Ordinal number Quantum logic Dimensionless physical constant Function Abstraction Net Predicate Ordinal arithmetic Mathematics Mathematical logic Logic
13	The Critical Foundations of Algebra H. Wu November 14, 2008 Setting the stage Add to Reading List Source URL: hrd.apec.org Language: English - Date: 2013-02-27 19:20:44 Algebra Binary operations Field theory Division Fraction Numbers Multiplication Addition Cross-multiplication Abstract algebra Mathematics Elementary arithmetic
14	Overview: The overview statement is intended to provide a summary of major themes in this unit. In this unit, students investigate the beginning foundations of place value by exploring the relationship between ten one Add to Reading List Source URL: mdk12.org Language: English - Date: 2013-09-30 18:05:52 Education reform Numeral systems Elementary arithmetic Elementary mathematics Base ten blocks National Council of Teachers of Mathematics Common Core State Standards Initiative Principles and Standards for School Mathematics Counting Mathematics Mathematics education Education
15	Overview: The overview statement is intended to provide a summary of major themes in this unit. In this unit, students investigate the beginning foundations of place value by exploring the relationship between ten one Add to Reading List Source URL: www.mdk12.org Language: English - Date: 2013-09-30 18:05:52 Education reform Numeral systems Elementary arithmetic Elementary mathematics Base ten blocks National Council of Teachers of Mathematics Common Core State Standards Initiative Principles and Standards for School Mathematics Counting Mathematics Mathematics education Education
16	The complexity of computable entailment Benedict Eastaugh [removed] Department of Philosophy University of Bristol Add to Reading List Source URL: extralogical.net Language: English - Date: 2014-05-22 10:36:49 Computability theory Proof theory Epistemology Reverse mathematics Foundations of mathematics Second-order arithmetic Constructivism Entailment Solomon Feferman Logic Mathematics Mathematical logic
17	Do the Integers Exist? The Unknowability of Arithmetic Consistency JACK T. SCHWARTZ Courant Institute It is an article of faith for most mathematicians that Peano’s axioms for arithmetic are consistent, perhaps becaus Add to Reading List Source URL: www.multimedialibrary.com Language: English - Date: 2005-12-01 07:11:01 Axiom Mathematical proof Foundations of mathematics Peano axioms Kurt Gödel Contradiction Zermelo–Fraenkel set theory Theorem Gottlob Frege Logic Mathematics Mathematical logic
18	RESEARCH Algebra in the Revision Susan Jo Russell, Deborah Schifter, and Virginia Bastable A major emphasis of the revision is to make the foundations of algebra currently in the curriculum more visible to teachers and Add to Reading List Source URL: investigations.terc.edu Language: English - Date: 2013-04-22 12:07:47 Education reform Algebra Elementary arithmetic Algebraic structures National Council of Teachers of Mathematics Investigations in Numbers Data and Space Addition Arithmetic Emmy Noether Mathematics education Mathematics Education
19	The Riemannian Background to Frege’s Philosophy1 Jamie Tappenden Add to Reading List Source URL: www-personal.umich.edu Language: English - Date: 2005-12-03 19:47:34 Gottlob Frege The Foundations of Arithmetic Arithmetization of analysis Mathematical analysis Mathematical logic Infinity Karl Weierstrass Function Analytic philosophy Mathematics Philosophy Philosophy of mathematics
20	AN INTERVIEW WITH PAUL BENACERRAF JUNE 2000 Add to Reading List Source URL: philosophy.stanford.edu Language: English - Date: 2010-02-28 22:23:47 Philosophy of mathematics Metaphysicians Branches of philosophy Paul Benacerraf Hilary Putnam Anti-realism Structuralism Truth The Foundations of Arithmetic Philosophy Analytic philosophers Philosophers of mathematics

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