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141
Proof in Mathematics Education, 1980-2020: An Overview
Published 2020-08-01“…In so doing, it describes some of the major epistemological themes that emerged in the last forty years, primarily in the philosophy of mathematics and in mathematical education, and informed both the mathematics curriculum and research in mathematics education. …”
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142
Les structures bourbakistes: objets ou concepts épistémiques ?
Published 2023-10-01“…Two currents of thought play an important role in the contemporary philosophy of mathematics. Although structuralism is not a new idea, it continues to unfold in multiple directions ranging from mathematical practice to its ontological dimension and to be the object of studies, for example as regards the modalities of its genesis. …”
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143
The Mixed Mathematical Intermediates
Published 2018-12-01“…Finally, since Aristotle’s objection to intermediates for the mixed mathematical sciences is one he takes seriously, so that it is unlikely that his own account of mathematical objects would fall prey to it, the argument casts doubt on a common interpretation of his philosophy of mathematics.…”
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144
Thematic structure of Elzevier collection of old-printed and rare books department of Vernadsky National Library of Ukraine
Published 2016-01-01“…Using examples of Elzevier editions available at department, thematic structure (history, philosophy, geography, mathematics, medical science, etc.) of collection was reviewed. …”
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145
Computational Abstraction
Published 2021-02-01“…In this paper, we provide an analysis of data abstraction based upon some contemporary work in the philosophy of mathematics. The paper contains a mathematical account of how Frege’s approach to abstraction may be interpreted, modified, extended and imported into type theory. …”
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146
Gramatyka nieskończoności. Ludwiga Wittgensteina krytyka teorii mnogości
Published 2023-01-01“…The paper discusses a relatively underexamined element of Wittgenstein’s philosophy of mathematics associated with his critique of set theory. …”
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147
The Concept of ‘Water’ in the Metaphorics of Economic Discourse
Published 2012-02-01“…Economics as science and business as we know it today are more recent developments of human thought and activity than philosophy, or mathematics, or various trades, that is why they have to draw on general literary language or other sciences for their terms, hence the abundance of metaphorical designations in their terminological systems. …”
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148
THE CONCEPT OF OBJECT IN THE WORKS OF G. FREGE, E. HUSSERL AND L. WITTGENSTEIN
Published 2015-11-01“…Husserl (prompting him to abandon the psychology in the philosophy of mathematics and logic), B. Russell, and L. Wittgenstein as well as on generations of scientists of the 20th century, largely determining the shape of modern logic. …”
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149
On There Being Wide Reflective Equilibria: Why it is Important to Put it in the Plural
Published 2008-10-01“…But it is also used in many domains from the philosophy of mathematics and science to ethics and aesthetics. …”
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150
Julius Konig et les Principes Aristoteliciens
Published 2009-01-01“…In his posthumous book from 1914, "New foundations of logic, arithmetic and set theory", Julius Konig develops his philosophy of mathematics. In a previous contribution, we attracted attention on the positive part (his truth and falsehood predicates being excluded) of his "pure logic": his "isology" being assimilated to mutual implication, it constitutes a genuine formalization of positive intuitionistic logic. …”
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151
“God does not algebra”: Simone Weil’s search for a supernatural reformulation of mathematics
Published 2024-01-01“…The article offers an analysis of Simone Weil's philosophy of mathematics. Weil's reflection starts from a critique of Bourbaki's programme, led by her brother André: the "mechanical attention" Bourbaki considered an advantage of their treatment of mathematics was for her responsible for the incomprehensibility of modern algebra, and even a cause of alien-ation and social oppression. …”
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152
Nominalism, Trivialism, Logicism
Published 2015“…This paper extracts some of the main theses in the philosophy of mathematics from my book, The Construction of Logical Space. …”
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153
Strict Finitism and the Happy Sorites.
Published 2012“…There is one philosophical view, however, that appears to allow for at least some happy sorites arguments: strict finitism in the philosophy of mathematics. My aim in this paper is to explore to what extent this appearance is accurate. …”
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154
Faith and fabrication in To the Lighthouse: Virginia Woolf's table-cloth(s)
Published 2022“…In To the Lighthouse and beyond, the table-cloth elucidates Woolf’s philosophical position—her awareness of dramatic shifts in the epistemology of science, her references to the philosophy of mathematics, and her faithful commitment to a fabricated reality. …”
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155
WITTGENSTEIN, FORMALISM, AND SYMBOLIC MATHEMATICS
Published 2020-05-01“…This raises naturally the question whether Wittgenstein holds a formalist position in philosophy of mathematics. The aim of this paper is to give a negative answer to this question, defending the view that Wittgenstein always thought that there is no logical separation between mathematics and its applications. …”
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156
Women in Islamic architecture: towards acknowledging their role in the development of Islamic civilization
Published 2020-01-01“…Many influencing studies examined women’s contribution to many fields of the Islamic civilization, such as the spread of the hadith (sayings) of the prophet Mohamed, education, literature, philosophy, poetry, mathematics, and medicine. Also, Muslim women were involved in a wide variety of roles in the media of visual arts, textiles, and weaving carpets. …”
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157
Working Memory and Consciousness: The Current State of Play
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158
A Constructive Treatment to Elemental Life Forms through Mathematical Philosophy
Published 2021-10-01“…Platonism, Aristotelian logism, neo-realism, monadism of Leibniz, Hegelian idealism and others have made efforts to understand reasons of existence of life forms in nature and the underlying principles through the lenses of philosophy and mathematics. In this paper, an approach is made to treat the similar question about nature and existential life forms in view of mathematical philosophy. …”
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159
Hume's Fork, and his theory of relations
Published 2017“…However it faces a number of potential problems,some of which Hume might have been expected to address, while others—particularlyconcerning his tendency to identify apriority, demonstrability, and necessity—derive fromrelatively recent Epistemology, Philosophy of Language, and Philosophy of Mathematics.All of these are considered, some requiring tightening of Hume’s distinction while othersimply limitations. …”
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160
Topics in arithmetic and determinacy
Published 2023“…In this work I discuss how to exactly understand the concept of determinacy, I criticise arguments for and against the claim that arithmetic is determinate, and examine how questions about determinacy may be applied to other debates in the philosophy of mathematics.</p> <p>Chapter 1 isolates different ways of understanding the problem of arithmetical determinacy. …”
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