[HTML][HTML] Nominalism in the philosophy of mathematics

O Bueno - 2013 - plato.stanford.edu
Nominalism about mathematics (or mathematical nominalism) is the view according to which
either mathematical objects, relations, and structures do not exist at all, or they do not exist …

Philosophy of mathematics: Making a fresh start

C Cellucci - Studies in History and Philosophy of Science Part A, 2013 - Elsevier
The paper distinguishes between two kinds of mathematics, natural mathematics which is a
result of biological evolution and artificial mathematics which is a result of cultural evolution …

An easy road to nominalism

O Bueno - Mind, 2012 - academic.oup.com
In this paper, I provide an easy road to nominalism which does not rely on a Field-type
nominalization strategy for mathematics (Field 1980). According to this proposal …

[PDF][PDF] The perceptions of Lesotho secondary schools' teachers about the inclusion of students with disabilities

MC Ralejoe - Unpublished doctoral dissertation). University of South …, 2016 - core.ac.uk
Scholars emphasise the pivotal role that teacher perceptions play in the success of inclusive
education (IE). Using Bourdieu's (1985-1999) three conceptual tools of habitus, field and …

Putnam and the indispensability of mathematics

O Bueno - Principia: an international journal of epistemology, 2013 - dialnet.unirioja.es
In this paper, I examine Putnam's nuanced views in the philosophy of mathematics,
distinguishing three proposals: modalism (an interpretation of mathematics in terms of modal …

Dummett on the Relation between Logics and Metalogics

T Williamson - Truth, meaning, justification, and reality: Themes from …, 2017 - degruyter.com
The paper takes issue with a claim by Dummett that, in order to aid understanding between
proponents and opponents of logical principles, a semantic theory should make the logic of …

Dedekind's and Frege's views on logic

H Benis Sinaceur - Mathematische Semesterberichte, 2017 - Springer
A contextual and comparative analysis shows that Dedekind and Frege do not understand
the terms “logic” and “arithmetic” in the same way. More specifically the meaning and the …

Inference and compulsion

C Cozzo - 2014 - philpapers.org
What is an inference? Logicians and philosophers have proposed various conceptions of
inference. I shall first highlight seven features that contribute to distinguish these …

More reflections on consequence

J Murzi, M Carrara - Logique et Analyse, 2014 - poj.peeters-leuven.be
This special issue collects together nine new essays on logical consequence: the relation
obtaining between the premises and the conclusion of a logically valid argument. The …

Abstraction, axiomatization and rigor: Pasch and Hilbert

M Detlefsen - Hilary Putnam on Logic and Mathematics, 2018 - Springer
In the late nineteenth century, Pasch made a well known statement concerning the
conditions of attaining rigor in geometrical proof. The criterion he offered called not only for …