in Logic on the Track of Social Change
December 1995; published online October 2011.
Chapter. Subjects: philosophy of mathematics and logic. 9984 words.
This chapter attempts to trace in some detail the decision-making process pertaining to the abolition of the British slave trade as debated in the British Parliament in the years 1788 to 1807. It...
in Beyond the Limits of Thought
October 2002; published online October 2011.
Chapter. Subjects: philosophy of mathematics and logic. 6571 words.
This chapter examines the relevance of mathematician and philosopher George Cantor's views on infinity to the contradictions in the limits of thought. Cantor's work has clarified with an...
in Philosophia Mathematica
October 1997; published online October 1997.
Journal Article. Subjects: philosophy of mathematics and logic; mathematics and computer science. 0 words.
In this paper, we try to establish that some mathematical theories, like K-theory, homology, cohomology, homotopy theories, spectral sequences, modern Galois theory (in its various applications),...
in Philosophia Mathematica
June 2008; published online October 2007.
Journal Article. Subjects: philosophy of mathematics and logic; mathematics and computer science. 12011 words.
In ‘What is wrong with abstraction’, Michael Potter and Peter Sullivan explain a further objection to the abstractionist programme in the foundations of mathematics which they first presented in...
in Realistic Decision Theory
August 2004; published online November 2004.
Chapter. Subjects: philosophy of mathematics and logic. 9446 words.
The influence of unacceptable mistakes explains why some decisions are irrational despite maximizing utility with respect to current circumstances and options actually considered. It explains why...
Published online May 2011.
Article. Subjects: philosophy; aesthetics and philosophy of art; epistemology; feminist philosophy; history of Western philosophy; metaphysics; moral philosophy; non-Western philosophy; philosophy of language; philosophy of law; philosophy of mathematics and logic; philosophy of mind; philosophy of religion; philosophy of science; social and political philosophy. 6260 words.
The philosophy of action shares with its topic a certain uncertainty of location. Is action located inside the mind or outside the mind—or does it in some way belong to both domains...
in Saving Truth From Paradox
March 2008; published online May 2008.
Chapter. Subjects: philosophy of mathematics and logic. 8540 words.
This chapter discusses the Lukasiewicz continuum-valued semantics as a way of improving upon the Kleene semantics as the basis for an account of truth. It is shown that it gives a very nice treatment...