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Learning the Natural Numbers as a Child
How do we get out knowledge of the natural numbers? Various philosophical accounts exist, but there has been comparatively little attention to psychological data on how the learning process actuallyExpand
Referring to Mathematical Objects via Definite Descriptions
Linsky and Zalta try to explain how we can refer to mathematical objects by saying that this happens through definite descriptions which may appeal to mathematical theories. I present two issues foExpand
The Complexity of Mental Integer Addition
TLDR
This paper proposes a computational model of mental integer addition that is sensitive to the relevant aspects of human arithmetical ability and necessitates a two-part complexity measure, since the addition tasks consists of two qualitatively different stages: retrieval of addition facts and the (de)composition of multidigit numbers. Expand
Two roads to the successor axiom
TLDR
It is argued that when the authors look at children’s responses in interviews, the time when they learn the successor axiom and the intermediate learning stages they find themselves in, that there is an empirically viable alternative. Expand
Spatial–numerical associations: Shared symbolic and non-symbolic numerical representations
TLDR
The evidence on spatial biases resulting from the activation of numerical representations, for both non-symbolic and symbolic tests are reviewed, to help decide which of these two theoretical perspectives on number representations is correct. Expand
Philosophy of Mathematics for the Masses : Extending the scope of the philosophy of mathematics
One of the important discussions in the philosophy of mathematics, is that centered on Benacerraf’s Dilemma. Benacerraf’s dilemma challenges theorists to provide an epistemology and semantics for mExpand
How numerals support new cognitive capacities
TLDR
It is argued that the large number system supports an argument against internalist theories of arithmetical cognition, but that one cannot conclude that the Hypothesis of Extended Cognition is correct. Expand
2017 EUROPEAN SUMMER MEETING OF THE ASSOCIATION FOR SYMBOLIC LOGIC LOGIC COLLOQUIUM ’17 Stockholm, Sweden August 14–20, 2017
s of invited and contributed talks given in person or by title by members of the Association follow. For the Program Committee Mirna Džamonja Abstracts of Invited Talkss of Invited Talks DAVIDExpand
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