Pretense, Mathematics, and Cognitive Neuroscience
Bibliographic Data
| ID | 8398772 |
|---|---|
| Authors | Jonathan Tallant (0000-0002-8085-3104, University of Nottingham, corresponding author) |
| Year | 2013 |
| Volume | 64 |
| Issue | 4 |
| Pages | 817-835 |
| Publication date | 2013-12-01 |
| Peer Reviewed | Yes |
| Open Access | No |
| Type | ARTICLE |
| Venue | The British Journal for the Philosophy of Science (JOURNAL) |
| Journal identifiers | ISSN: 0007-0882 • E-ISSN: 1464-3537 |
| Publisher | Oxford University Press (PUBLISHER • GB) |
| DOI | 10.1093/bjps/axs013 |
| OpenAlex | W2316504959 |
| Language | EN |
| Citations received | 1 |
| References cited | 37 |
A pretense theory of a given discourse is a theory that claims that we do not believe or assert the propositions expressed by the sentences we token (speak, write, and so on) when taking part in that discourse. Instead, according to pretense theory, we are speaking from within a pretense. According to pretense theories of mathematics, we engage with mathematics as we do a pretense. We do not use mathematical language to make claims that express propositions and, thus, we do not use mathematical discourse to make claims that are either true or false. In this paper I make use of recent findings from cognitive neuroscience and developmental science to suggest that pretense theories of mathematics fail. 1 Introduction 2 The Autism Objection 2.1 Autism and pretense 2.2 Autistic engagement with mathematics 2.2.1 Cortical folding 2.2.2 The language of mathematics 3 The Onset of the Number Sense and the Recognition of Pretense 3.1 A difference in neurology 3.2 Young and no numbers 3.2.1 When and where is the difference? 3.2.2 Damaged HIPS without impairment to engagement with fiction 4 Concluding Remarks
Autism · Cognition · Cognitive psychology · Cognitive science · Developmental psychology · Language of mathematics · Linguistics · Mathematics education · Theory of mind · Child and Animal Learning Development · Cognitive and developmental aspects of mathematical skills · Mathematics Education and Teaching Techniques · Neuroscience · Philosophy · Psychology
Diagnostic and Statistical Manual of Mental Disorders
Mathematics and Reality
Addition and subtraction by human infants
Autism Diagnostic Interview-Revised
The Autism Diagnostic Observation Schedule—Generic
Newborn infants perceive abstract numbers
Is there a good epistemological argument against platonism?
Science as a Guide to Metaphysics
Mathematical Explanation in Science
The Autism Objection to Pretence Theories
| Unique citing works | 1 |
|---|---|
| Citations per year | 0,08 |
| Citation span | 2014 - 2014 (1) |
| Citation velocity | historical |
| Highly cited | No |
| Citation types | Neutral: 1 |