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  1. Francisco Antonio Doria (2009). Theoretical Physics: A Primer for Philosophers of Science. Principia 13 (2):195-232.
    We give a overview of the main areas in theoretical physics, with emphasis on their relation to Lagrangian formalism in classical mechanics. This review covers classical mechanics; the road from classical mechanics to Schrodinger's quantum mechanics; electromagnetism, special and general relativity, and (very briefly) gauge field theory and the Higgs mechanism. We shun mathematical rigor in favor of a straightforward presentation.
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  2. Francisco Antonio Doria & Manuel Doria (2009). On Formal Treatments for General Relativity. Philosophia Naturalis 46 (1):115-132.
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  3. Francisco Antonio Doria (2007). Informal Versus Formal Mathematics. Synthese 154 (3):401 - 415.
    We discuss Kunen’s algorithmic implementation of a proof for the Paris–Harrington theorem, and the author’s and da Costa’s proposed “exotic” formulation for the P = NP hypothesis. Out of those two examples we ponder the relation between mathematics within an axiomatic framework, and intuitive or informal mathematics.
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  4. Francisco Antonio Doria (2000). Is There a Simple, Pedestrian Arithmetic Sentence Which is Independent of Zfc? Synthese 125 (1-2):69-76.
    We show that the P 2 0 sentence, and explore some of theconsequences of that fact. This paper summarizes recent workby the author with N. C. A. da Costa on the P
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  5. Newton C. A. da Costa & Francisco Antonio Doria (1992). On the Incompleteness of Axiomatized Models for the Empirical Sciences. Philosophica 50.
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  6. Francisco Antonio Doria (1992). Mathematics is Dramatically Incomplete. Theoria 7 (1/2/3):411-422.
    We state and comment our recent results on the incompleteness of elementary real analysis and their relevance for the axiomatized sciences.
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