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Second-order arithmetic
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21	Open-endedness, schemas and ontological commitment∗ Nikolaj Jang Pedersen and Marcus Rossberg December 10, 2008 Abstract Second-order axiomatizations of certain important mathematical theories – such as arithmetic an Add to Reading List Source URL: www.nikolajpedersen.com Language: English - Date: 2010-02-17 05:11:03 Predicate logic Model theory Quantification Analytic philosophers First-order logic George Boolos Second-order arithmetic Peano axioms Second-order logic Logic Mathematical logic Mathematics
22	North Dakota Department of Public Instruction Title I Third Grade Math Standards ____ Read, write, order, and compare numbers to 10,000 ____ Round numbers to tens, hundreds, and thousands. Add to Reading List Source URL: www.dpi.state.nd.us Language: English - Date: 2003-09-26 14:08:01 Binary operations Division Education reform 24 Game Fraction Multiplication Symmetry Second grade Number Mathematics Elementary arithmetic Education
23	Reverse Mathematics Benedict Eastaugh December 13, 2011 In ordinary mathematical practice, mathematicians prove theorems, reasoning from a fixed1 set of axioms to a logically derivable conclusion. The axioms in play are Add to Reading List Source URL: extralogical.net Language: English - Date: 2014-05-22 10:36:49 Proof theory Model theory Z notation Formal systems Reverse mathematics Second-order arithmetic Peano axioms Zermelo–Fraenkel set theory Ordinal analysis Logic Mathematical logic Mathematics
24	Shore’s computational reverse mathematics Benedict Eastaugh University of Bristol Philosophy and Computation workshop Lunds universitet Add to Reading List Source URL: extralogical.net Language: English - Date: 2014-05-22 10:36:49 Proof theory Model theory Philosophy of mathematics Computability theory Reverse mathematics Second-order arithmetic First-order logic Impredicativity Axiom Logic Mathematics Mathematical logic
25	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
26	1 Summer Math Reinforcement Packet Students Entering into 3rd Grade Our second graders had a busy year learning new math skills. Mastery of all these skills is extremely important in order to develop a solid math founda Add to Reading List Source URL: www.macomb.k12.mi.us Language: English - Date: 2011-09-30 15:20:32 Binary operations 24 Game Addition Subtraction Fraction Inequality Multiplication Trading card XTR Mathematics Elementary arithmetic Arithmetic
27	Background Hyperarithmetic analysis New statements Add to Reading List Source URL: www.ims.nus.edu.sg Language: English - Date: 2010-01-12 23:03:20 Proof theory Computability theory Reverse mathematics Second-order arithmetic Ordinal number Constructible universe Axiom Mathematical logic Logic Mathematics
28	Frege’s Unofficial Arithmetic January 14, 2002 Add to Reading List Source URL: web.mit.edu Language: English - Date: 2005-07-22 19:59:03 Model theory Interpretation Philosophy of language Philosophy of mind Semantics Second-order arithmetic Function Peano axioms First-order logic Mathematical logic Mathematics Logic
29	PDF Document Add to Reading List Source URL: www.contrib.andrew.cmu.edu Language: English - Date: 2003-09-30 13:07:13 Computability theory Proof theory Model theory Functions and mappings Elementary function arithmetic Peano axioms Primitive recursive function Primitive recursive arithmetic Second-order arithmetic Mathematical logic Mathematics Logic
30	PDF Document Add to Reading List Source URL: www.andrew.cmu.edu Language: English - Date: 2013-10-02 10:18:56 Computability theory Proof theory Model theory Functions and mappings Elementary function arithmetic Peano axioms Primitive recursive function Primitive recursive arithmetic Second-order arithmetic Mathematical logic Mathematics Logic