Here is a recent paper on the source and character of mathematics. It is an exploration of Pythagorean-Platonic and Aristotelian-Thomistic accounts of mathematics and science. This paper argues that mathematics is a specific form of abstraction. It concludes that science remains authentic when it maintains an awareness that it is necessarily abstract or reductionist. It includes references to the following individuals and topics:
Mathematics,
Physics,
Metaphysics,
Philosophy of Science,
Plato,
Aristotle,
Edmund Husserl,
Galileo Galilei,
Thomas Aquinas,
Imagination,
Abstraction,
Pythagoreans,
Pythagoras,
Isaac Newton,
Werner Heisenberg,
Niels Bohr,
Carlo Rovelli,
Philosophy and Natural Science,
Nicomachus of Gerasa,
Max Tegmark.
