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A Model Theory of Topology
An algebraization of the notion of topology has been proposed more than 70 years ago in a classical paper by McKinsey and Tarski, leading to an area...
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Cosmic topology, underdetermination, and spatial infinity
It is well-known that the global structure of every space-time model for relativistic cosmology is observationally underdetermined. In order to...
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The suitability of topology for the investigation of geometric-perceptual phenomena
Topology has been characterized as an unsuitable mathematical framework for the investigation of geometric-perceptual phenomena. This has been...
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The introduction of topology into analytic philosophy: two movements and a coda
Both early analytic philosophy and the branch of mathematics now known as topology were gestated and born in the early part of the 20th century. It...
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The topology of persons, and surviving to some degree
Braddon-Mitchell and Miller put forward the claim that the relation of being-the-same-person is gradable: a person can be the same person tomorrow as...
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Justified belief, knowledge, and the topology of evidence
We propose a new topological semantics for evidence, evidence-based justifications, belief, and knowledge. Resting on the assumption that an agent’s...
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Not so distinctively mathematical explanations: topology and dynamical systems
So-called ‘distinctively mathematical explanations’ (DMEs) are said to explain physical phenomena, not in terms of contingent causal laws, but rather...
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Alethic Topology
Factual claims can be true at one place, false at another; possible in one location and not in another. “It is hot here” is flexible; its being hot...
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Very True Operators on Pre-semi-Nelson Algebras
In this paper, we use the concept of very true operator to pre-semi-Nelson algebras and investigate the properties of very true pre-semi-Nelson...
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Topology
In the late nineteenth and early twentieth century the investigation of continuity led to the creation of topology, a major new branch of mathematics...
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Introduction
The chapters in Section 5 deal with topics like the principle of pervasive (or universal) complementarities, the place of belief in knowledge...
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What is a mathematician doing…in a chemistry class?
The way of thinking of mathematicians and chemists in their respective disciplines seems to have very different levels of abstractions. While the...
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New Schemes of Dynamic Preservation of Diversity: Remarks on Stability and Topology
We address the biological dynamics problem of the persistence of several species in conditions of non-existence of an equilibrium, including an...
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Completeness and Doxastic Plurality for Topological Operators of Knowledge and Belief
The first aim of this paper is to prove a topological completeness theorem for a weak version of Stalnaker’s logic KB of knowledge and belief. The...
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Structure, shape, topology: entangled concepts in molecular chemistry
The concepts of molecular structure and molecular shape are ubiquitous in the chemical literature, where they are often taken as synonyms, with...
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A Stit Logic of Intentionality
We extend epistemic stit theory with a modality \(I_\alpha \varphi \) ,...
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Valueless Measures on Pointless Spaces
On our ordinary representations of space, space is composed of indivisible, dimensionless points; extended regions are understood as infinite sets of...
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Who Thinks Abstractly?: From Modern Geometry to Modern Algebra with Emmy Noether
This chapter considers the work of Emmy Noether, a major figure in the history of modern mathematics. In geometry, the primary field of her earlier...
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The Epistemology of Nondeterminism
This paper proposes new semantics for propositional dynamic logic (PDL), replacing the standard relational semantics. Under these new semantics,...
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From probabilistic topologies to Feynman diagrams: Hans Reichenbach on time, genidentity, and quantum physics
Hans Reichenbach’s posthumous book The Direction of Time ends somewhere between Socratic aporia and historical irony. Prompted by Feynman’s...
