(Enter summary)
Abstract: Mathematics provides a rich domain for discussion of
deep questions about cognition in both humans and
machines. Roger Penrose claims that it is impossible for
a machine to understand mathematics, and therefore that a
machine cannot be a mind. Research over several years
into how university students learn and understand
mathematics has led to a computational model of the task
known as the Mathematics Understander (MU). MU can
to some limited degree understand university level pure
mathematics... (Update)
Active bibliography (related documents): More All
0.4: Learning University Mathematics - Furse (1994)
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0.4: The Contextual Memory System: An architecture for declarative .. - Furse, Nicolson (1995)
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0.2: Perception and Experience in Problem Solving - Furse, Nicolson (1993)
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0.3: An Adaptive Parser for Mathematics - Furse (1993)
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0.3: Learning Problem Solving Heuristics From Worked Examples - Morgan, Nicolson, Furse (1995)
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BibTeX entry: (Update)
@misc{ furse-human,
author = "Edmund Furse",
title = "Human and Machine Understanding of Mathematics",
url = "citeseer.ist.psu.edu/106920.html" }
Citations (may not include all citations):
303
Unified Theories of Cognition (context) - Newell - 1990
128
Understanding Computers and Cognition (context) - Winograd, Flores - 1987
49
The Computer Modelling of Mathematical Reasoning (context) - Bundy - 1983
40
Dynamic Memory: A theory of reminding and learning in comput.. (context) - Schank - 1982
30
Mind over Machine (context) - Dreyfus, Dreyfus - 1986
26
Shadows of the Mind
- Penrose - 1995
24
Darwin's Dangerous Idea (context) - Dennett - 1995
10
The Mathematics Understander (context) - Furse - 1994
6
You can't play 20 questions with nature and win: Projective .. (context) - Newell - 1973
6
Escaping from the Box
- Furse - 1993
4
Perception and Experience in Problem Solving
- Furse, Nicolson - 1993
1
The Emperor's New Mind (context) - Press, Massachusetts et al. - 1989
1
Reprinted in the AISB Quarterly Spring/Summer (context) - Sloman, Hogg et al. - 1993
1
The Contextual Memory System: An architecture for Declarativ..
- Furse, Nicolson - 1995
1
Learning Mathematics by Experience: a Model of Declarative L.. (context) - Furse - 1996
Documents on the same site (http://www.comp.glam.ac.uk/pages/staff/efurse/list-of-papers.html): More
Learning Problem Solving Heuristics From Worked Examples - Morgan, Nicolson, Furse (1995)
(Correct)
Learning University Mathematics - Furse (1995)
(Correct)
The Mathematics Understander Edmund Furse - Furse (1994)
(Correct)
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