22 citations · 136 across the 26 of their papers we have counts for
27 papers
Einstein Algebras in a Categorical Context
Leszek Pysiak, Wiesław Sasin, Michael Heller +1
According to the basic idea of category theory, any Einstein algebra, essentially an algebraic formulation of general relativity, can be considered from the point of view of any ob…
Causality and time order -- relativistic and probabilistic aspects
Michał Eckstein, Michael Heller
We investigate temporal and causal threads in the fabric of contemporary physical theories with an emphasis on empirical and operationalistic aspects. Building on the axiomatizatio…
The Geometrization of Meaning
Michael Heller
One of the greatest problems in philosophy is that of meaning. The turning point in thinking on meaning was Tarski's definition of truth, and the rapid development of logical seman…
Functorial differential spaces and the infinitesimal structure of space-time
Leszek Pysiak, Wiesław Sasin, Michael Heller +1
We generalize the differential space concept as a tool for developing differential geometry, and enrich this geometry with infinitesimals that allow us to penetrate into the superf…
The Homunculus Brain and Categorical Logic
Michael Heller
The interaction between syntax (formal language) and its semantics (meanings of language) is one which has been well studied in categorical logic. The results of this particular st…
Beyond the Space-Time Boundary
Michael Heller, Jerzy Król
In General Relativity a space-time is regarded singular if there is an obstacle that prevents an incomplete curve in to be continued. Usually, such a space-time is complete…