315 citations · 1.1k across the 18 of their papers we have counts for
18 papers
Classical and Quantum Probabilities as Truth Values
Andreas Doering, Chris J. Isham
We show how probabilities can be treated as truth values in suitable sheaf topoi. The scheme developed in this paper is very general and applies to both classical and quantum physi…
Topos Methods in the Foundations of Physics
Chris J. Isham
This article gives a conceptual introduction to the topos approach to the formulation of physical theories.
`What is a Thing?': Topos Theory in the Foundations of Physics
Andreas Doering, Chris Isham
The goal of this paper is to summarise the first steps in developing a fundamentally new way of constructing theories of physics. The motivation comes from a desire to address cert…
A Topos Foundation for Theories of Physics: II. Daseinisation and the Liberation of Quantum Theory
A. Doering, C. J. Isham
This paper is the second in a series whose goal is to develop a fundamentally new way of constructing theories of physics. The motivation comes from a desire to address certain dee…
Quantising on a category
C J Isham
We review the problem of finding a general framework within which one can construct quantum theories of non-standard models for space, or space-time. The starting point is the obse…
A New Approach to Quantising Space-Time: III. State Vectors as Functions on Arrows
C. J. Isham
In two recent papers by the author, a new approach was suggested for quantising space-time, or space. This involved developing a procedure for quantising a system whose configurati…