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  1. An Aristotelian Realist Philosophy of Mathematics: Mathematics as the science of quantity and structure.James Franklin - 2014 - London and New York: Palgrave MacMillan.
    An Aristotelian Philosophy of Mathematics breaks the impasse between Platonist and nominalist views of mathematics. Neither a study of abstract objects nor a mere language or logic, mathematics is a science of real aspects of the world as much as biology is. For the first time, a philosophy of mathematics puts applied mathematics at the centre. Quantitative aspects of the world such as ratios of heights, and structural ones such as symmetry and continuity, are parts of the physical world and (...)
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  • Of Dreams, Demons, and Whirlpools: Doubt, Skepticism, and Suspension of Judgment in Descartes's Meditations.Jan Forsman - 2021 - Dissertation, Tampere University
    I offer a novel reading in this dissertation of René Descartes’s (1596–1650) skepticism in his work Meditations on First Philosophy (1641–1642). I specifically aim to answer the following problem: How is Descartes’s skepticism to be read in accordance with the rest of his philosophy? This problem can be divided into two more general questions in Descartes scholarship: How is skepticism utilized in the Meditations, and what are its intentions and relation to the preceding philosophical tradition? -/- I approach the topic (...)
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  • God and Abstract Objects: The Coherence of Theism: Aseity.William Lane Craig - 2017 - Cham: Springer.
    This book is an exploration and defense of the coherence of classical theism’s doctrine of divine aseity in the face of the challenge posed by Platonism with respect to abstract objects. A synoptic work in analytic philosophy of religion, the book engages discussions in philosophy of mathematics, philosophy of language, metaphysics, and metaontology. It addresses absolute creationism, non-Platonic realism, fictionalism, neutralism, and alternative logics and semantics, among other topics. The book offers a helpful taxonomy of the wide range of options (...)
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  • Radical mathematical Thomism: beings of reason and divine decrees in Torricelli’s philosophy of mathematics.Paolo Palmieri - 2009 - Studies in History and Philosophy of Science Part A 40 (2):131-142.
    Evangelista Torricelli is perhaps best known for being the most gifted of Galileo’s pupils, and for his works based on indivisibles, especially his stunning cubature of an infinite hyperboloid. Scattered among Torricelli’s writings, we find numerous traces of the philosophy of mathematics underlying his mathematical practice. Though virtually neglected by historians and philosophers alike, these traces reveal that Torricelli’s mathematical practice was informed by an original philosophy of mathematics. The latter was dashed with strains of Thomistic metaphysics and theology. Torricelli’s (...)
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