PhilSci Archive

Troubles with mathematical contents

Facchin, Marco (2021) Troubles with mathematical contents. [Preprint]

[img]
Preview
Text
MF_TROUBLES WHIT MATH_PREPRINT.pdf

Download (225kB) | Preview

Abstract

The deflationary account of representations purports to capture the explanatory role representations play in computational cognitive science. To this end, the account distinguishes between mathematical contents, representing the values and arguments of the functions cognitive devices compute, and cognitive contents, which represent the distal states of affairs cognitive systems relate to. Armed with this distinction, the deflationary account contends that computational cognitive science is committed only to mathematical contents, which are sufficient to provide satisfactory cognitive explanations. Here, I scrutinize the deflationary account, arguing that, as things stand, it faces two important challenges deeply connected with mathematical contents. The first depends on the fact that the deflationary account accepts that a satisfactory account of representations must deliver naturalized contents. Yet, mathematical contents have not been naturalized, and I claim that it is very doubtful that they ever will. The second challenge concerns the explanatory power of mathematical contents. The deflationary account holds that they are always sufficient to provide satisfactory explanations of cognitive phenomena. I will contend that this is not the case, as mathematical contents alone are not sufficient to explain why deep neural networks misclassify adversarial examples.


Export/Citation: EndNote | BibTeX | Dublin Core | ASCII/Text Citation (Chicago) | HTML Citation | OpenURL
Social Networking:
Share |

Item Type: Preprint
Creators:
CreatorsEmailORCID
Facchin, Marcomarco.facchin@iusspavia.it0000-0001-5753-9873
Keywords: Representation, Content, Mathematical contents, Computation, Implementation, Adversarial examples.
Subjects: Specific Sciences > Neuroscience > Cognitive Neuroscience
Specific Sciences > Cognitive Science > Computation
General Issues > Computer Simulation
Specific Sciences > Cognitive Science > Concepts and Representations
General Issues > Explanation
Specific Sciences > Artificial Intelligence > Machine Learning
Depositing User: Dr. Marco Facchin
Date Deposited: 05 Nov 2021 04:12
Last Modified: 05 Nov 2021 04:12
Item ID: 19808
Subjects: Specific Sciences > Neuroscience > Cognitive Neuroscience
Specific Sciences > Cognitive Science > Computation
General Issues > Computer Simulation
Specific Sciences > Cognitive Science > Concepts and Representations
General Issues > Explanation
Specific Sciences > Artificial Intelligence > Machine Learning
Date: 2021
URI: http://philsci-archive.pitt.edu/id/eprint/19808

Monthly Views for the past 3 years

Monthly Downloads for the past 3 years

Plum Analytics

Actions (login required)

View Item View Item