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http://www.mmsysgrp.com/stefanik.htm

Check out these references... I wanna read like half of them!


Theories of Truth

Tarski, Carnap, Davidson, Field, Dummett, Prosentential, Putnam articles.

Quine, W.V.O. Philosophy of Logic

Haack, Susan. Philosophy of Logics

Devitt, Michael. Realism and Truth

Putnam, Hilary. Realism and Reason, Words and Life

Kirkman, Richard. Theories of Truth

Stefanik, Richard. "Theories of Truth"

Mathematical Truth and Philosophy of Mathematics

Stefanik, Richard. "Structuralism, Category Theory and Philosophy of Mathematics"

Structure of Scientific Theories: Received View

Suppe, Frederick. "Received View of Scientific Theories",
The Structure of Scientific Theories

Stefanik, Richard. "The Received View of Scientific Theories"

Semantic Approach to Scientific Theories

Van Fraasen, Bas. The Scientific Image, Laws and Symmetry

Giere, Ronald. Understanding Science

Suppe, Frederick.The Semantic Approach to Scientifc Theories

Stefanik, Richard. "Van Fraasen's Philosophy of Science"

Role of Models in Science

Harre, Rom. Reality Rescued, Varieties of Realism

Models of Data and Experiments

Suppes, Patrick. "The Structure of Theories and the Analysis of Data"
Studies in the Methodology and Foundations of Science
Models and Methods in the Philosophy of Science

Hacking, Ian. Representing and Intervening

Savage, F. Philosophical Theories of Measurement

Heelan, Patrick A. "After Experiment: Realism and Research"
"Experiments as Fulfilment of Theory"
"Husserl's Later Philosophy of Natural Science"

Stefanik, Richard. "Heelan : Theories, Experiments, and Phenomena"

Symmetry, Invariance and Covariance in Physical Theories

Nagel, Ernest. "Objectivity and Invariance", The Structure of Science

Lucas, J.R. "Constancy, Invariance, and Symmetry", Space, Time and Causality

Wigner, Eugene. Symmetries and Reflections

Weyl, Herman. Symmetry

Roche, John."A Critical Study of Symmetry in Physics from Galileo to Newton"
"The Semantics of Graphics in Mathematical Natural Philosophy"

Redhead, Michael. "Symmetry in Inter-Theory Relations"

Harre, Rom."Covariance and Conservation" (Mathematical Epistemology),
Varieties of Realism

Van Fraassen,Bas. Laws and Symmetry

Post, Heinz. "Correspondence, Invariance and Heuristics"

Brown, Harvey. "Correspondence, Invaraince & Heurisrtics
in the Emergence of Special Relativity"

The Abstract Logic Characterization of Scientific Theories

Feferman, Solomon. "Two Notes on Abstract Model Theory"

Barwise, Jon. Handbook on Mathematical Logic

Barwise and Feferman. Model-Theoretic Logics

Barwise, Jon. "Axioms for Abstract Model Theory"
Annuals of Mathematical Logic, 7, p.221-265

Hodges, Wilfrid. Model Theory

Stefanik, Richard." Pearce-Rantala and the Abstract Logic Characterization of Theories"

Structuralist Characterization of Scientific Theories

Balzer, Moulines, Sneed. An Architectonic for Science

Sneed, Joseph. "Structuralism and Scientific Theories"

Grandy, Richard. "Theories of Theories: A View from Cognitive Science"

Stefanik, Richard. "Structuralist Representations of Scientific Theories"

Reduction, Incommensurability and Functors

Sneed, Joseph. "Reduction, Interpretation and Invariance"

Mormann, Thomas. "Structuralist Reduction Concepts as Structure Preserving Maps"

Stefanik, Richard. "Functors and Inter-Theoretic Relations"

Scientific Truth, Objectivity and Invariance

Conclusion and Summation of Argument:
The objectivity of scientific theories, especially the objectivity of
theory change, is best explicated using functors and category theory.
The concept of scientific truth based on Tarski's definition of
mathematical truth is a derivative concept.

Appendix I: Basic Constructions of Category Theory

Categories

Pitt, David. "Categories"

Goguen, Joseph. "A Categorical Manifesto", "Types as Theories"

Fourman, Michael. "Theories as Categories"

MacLane, Saunders. "Logic is neither foundations or philosophy"

Poigne, Axel. "Algebra Categorically"

Functors

Rydeheard, David. "Functors and Natural Transformations"

Pierce. Category Theory for Computer Science

Adjunction

Mac Lane and Birkhoff. "Categories and Adjoint Functors", Algebra

Mac Lane. "Adjunction", Categories for the Working Mathematician

Topos

Barr and Wells. Category Theory for Computer Science

Fourman, Michael. "The Logic of Topoi"

Hyland, Martin. "The Effective Topos"

Pure Category Theory

Blyth, T.S. Categories

MacLane, Saunders. Categories for the Working Mathematician

Arbib and Manes. Arrows, Structures and Functors

McLarty, Colin. Elementary Categories, Elementary Topoi

Appendix II: Applications of Category Theory in Scientific Disciplines

Categorical Logic

Poigne, Axel. "Category Theory and Logic"

Kock and Reyes. "Doctrines in Categorical Logic"

Goldblatt, Robert. Topoi - The Categorical Analysis of Logic

Pitts, Andrew. Notes on Categorical Logic, Categories and Types

Lambert and Scott. Introduction to Higher Order Categorical Logic

Crole,R. Types in Categories

Computer Science

Pierce, Benjamin: Category Theory in Computer Science

Barr & Wells: Category Theory for Computer Science

Adamek: Category Theory for Automata Theory

Pitt, Abramsky, Poigne, Rydeheard.(ed) Category Theory and Computer Programming

Mathematical Physics

Geroch, Robert. Mathematical Physics

MacLane, Saunders. Form and Function in Mathematics

Frohlich, Jurg and Kerler, Thomas.
Quantum Groups, Quantum Categories and Quantum Field Theory
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