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Philosophy Of Mathematics

Spacetime, Structural Realism, and the Substantival/Relational Debate: An Ontological Investigation from the Perspective of Structural Realism in the Philosophy of Mathematics

Spacetime, Structural Realism, and the Substantival/Relational Debate: An Ontological Investigation from the Perspective of Structural Realism in the Philosophy of Mathematics

... interrelationships with physical things; rather, things “exemplify” ante rem structures— see also section 2.2). Thus, spacetime structuralism makes a nice distinction between absolutism about mathematical structures ...

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The Methodological Roles of Tolerance and Conventionalism in the Philosophy of Mathematics: Reconsidering Carnap’s Logic of Science

The Methodological Roles of Tolerance and Conventionalism in the Philosophy of Mathematics: Reconsidering Carnap’s Logic of Science

... In the Logico-Mathematical Interlude I will present the relevant technical details of Carnap’s program. Our attention will be primarily directed toward the definitions and theorems in Logical Syntax. This specificity is ...

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PP 2007 32: 
  Mathematical knowledge: a case study in empirical philosophy of mathematics

PP 2007 32: Mathematical knowledge: a case study in empirical philosophy of mathematics

... for philosophy of mathematics, for instance, the late Wittgenstein, Philip Kitcher [Kit84], Paul Ernest [Ern98], or David Bloor [Blo96, ...taking mathematics as an object of study—mainly just because ...

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PP 2018 07: 
  Methodological triangulation in empirical philosophy (of mathematics)

PP 2018 07: Methodological triangulation in empirical philosophy (of mathematics)

... “Experimental philosophy is a new interdisciplinary field that uses methods normally associated with psychology to investigate questions normally associated with ...Experimental Philosophy establishes it as ...

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Poincaré's philosophy of mathematics

Poincaré's philosophy of mathematics

... Synthetic apriori judgements are thus possible when we relate the formal conditions of apriori intuition, the synthesis of imagination, and the necessary unity of this synthesis, in a tr[r] ...

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X 2008 02: 
  Philosophy of Mathematics: Five Candid Answers

X 2008 02: Philosophy of Mathematics: Five Candid Answers

... in mathematics and in philosophy. The beauty of mathematics was clear to me at once, with the amazing power, surprising twists, and indeed the music, of abstract ...

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The Beyträge at 200: Bolzano's quiet revolution in the philosophy of mathematics

The Beyträge at 200: Bolzano's quiet revolution in the philosophy of mathematics

... in mathematics and logic, promising himself to under- take a complete reconstruction of mathematics from the ground up, in accordance with the principles of his new logic, itself a work in ...of ...

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From the experiences of women mathematicians : a feminist epistemology for mathematics : a thesis presented in partial fulfilment of the requirements for the degree of Doctor of Philosophy in Mathematics and Women's Studies at Massey University

From the experiences of women mathematicians : a feminist epistemology for mathematics : a thesis presented in partial fulfilment of the requirements for the degree of Doctor of Philosophy in Mathematics and Women's Studies at Massey University

... describing mathematics or mathematical knowledge but "with the epistemological project of providing rigorous systems to warrant mathematical knowledge absolutely" (Ernest, 1995 ...of mathematics as ...

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Mathematics

Mathematics

... that mathematics is delivered as a discrete subject and where there are applications to other curricular areas, these are seen as affording the opportunity to consolidate mathematical skills rather than as ...

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Distributions on bicoloured evolutionary trees : a thesis presented in partial fulfilment of the requirements for the degree of Doctor of Philosophy in Mathematics at Massey University

Distributions on bicoloured evolutionary trees : a thesis presented in partial fulfilment of the requirements for the degree of Doctor of Philosophy in Mathematics at Massey University

... Under a simple stochastic model on bicol o u red trees, conditio ns for the consistency of frequently-used methods based o n parsimony and compatibility are examined.. lt is shown that e[r] ...

209

Mathematics

Mathematics

... The essential problem for a sizeable proportion of pupils in primary education is low levels of mathematical literacy: the ability to understand and apply mathematical ideas proficiently. Not only are such pupils limited ...

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Measurement, mathematics, and mechanisms of mammalian growth : a thesis presented in partial fulment of the requirements for the degree of Doctor of Philosophy at Massey University

Measurement, mathematics, and mechanisms of mammalian growth : a thesis presented in partial fulment of the requirements for the degree of Doctor of Philosophy at Massey University

... PLOTS OF LOG BODY WEIGHT AGAINST THE RECIPROCAL OF AGE FOR RATS: 1.2a - SHAM OPERATED AND OVARIECTOMISED AT WEEK 4, 1.2b- SHAM OPERATED AND OVARIECTOMISED AT WEEK 7, dashed line - extrap[r] ...

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The quotient between length and multiplicity : a thesis presented in partial fulfilment of the requirements for the degree of Doctor of Philosophy in Mathematics at Massey University

The quotient between length and multiplicity : a thesis presented in partial fulfilment of the requirements for the degree of Doctor of Philosophy in Mathematics at Massey University

... o Note that this result is equally true for an A-module M and GmM, In this section we also want to introduce the notion of the Loewy length , Definition 2.2.4 Let M be an A-module and le[r] ...

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Mathematics. Advanced Mathematics Interim Edition

Mathematics. Advanced Mathematics Interim Edition

... Interview This curriculum promotes understanding and applying mathematics concepts. Interviewing a student allows the teacher to confi rm that learning has taken place beyond simple factual recall. Discussion ...

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Undergraduate mathematics and the role of mathematics learning support

Undergraduate mathematics and the role of mathematics learning support

... of mathematics learning support in Australia as it relates to undergraduate mathematics, both overt and ...many mathematics support practitioners and present a model for program development based on ...

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Semantic Reading in Mathematics and Mathematics Teaching

Semantic Reading in Mathematics and Mathematics Teaching

... Our work is connected with the results in artificial intelligence (Garrido, 2017). An important subject in the artificial intelligence is the automated (or mechanical) theorem proving, and, in particular, mechanical ...

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The philosophy of comparative philosophy

The philosophy of comparative philosophy

... By attempting to examine thinkers and texts both from a contextualised and decontextualised position, comparative philosophy can provide a greater depth to the understanding of the think[r] ...

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Mathematics in school and life : implications for secondary mathematics

Mathematics in school and life : implications for secondary mathematics

... the mathematics of the Hindu- Muslim world to Europe, Regiomontanus set about encapsulating the geometry and arithmetic of previous years, suggesting improvements and developing a new way of expressing ...of ...

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Three Important Applications of Mathematics in Financial Mathematics

Three Important Applications of Mathematics in Financial Mathematics

... theory, mathematics in the field of finance is another important application is analyzed in option pricing and investment decision us- ing differential game method, and the application of this aspect has made re- ...

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Standard Two: Knowledge of Mathematics: The teacher shall be knowledgeable about mathematics and mathematics instruction.

Standard Two: Knowledge of Mathematics: The teacher shall be knowledgeable about mathematics and mathematics instruction.

... and mathematics in the following content areas: civics, economics, foreign language, geography, history, science, music, visual arts, and physical ...and mathematics and expert in their content endorsement ...

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