Mark Steiner

Mark Steiner (1942-2020) was an American-Israeli philosopher of mathematics and science who made significant contributions to the fields of mathematical explanation and scientific understanding. His work focused on exploring the philosophical foundations of mathematics and physics, particularly examining why mathematical proofs and concepts have explanatory power. Steiner's most influential work was his 1983 book "The Applicability of Mathematics as a Philosophical Problem," which investigated why mathematics is so effective in describing the physical world. He challenged both Platonist and nominalist views of mathematics, developing novel perspectives on mathematical explanation and scientific realism. As a professor at the Hebrew University of Jerusalem, Steiner wrote extensively on the relationship between mathematics and physics, publishing papers on topics ranging from Wittgenstein's philosophy of mathematics to the anthropocentric nature of mathematical reasoning. His work examining mathematical coincidences and their role in scientific discovery has been particularly influential in philosophy of science. Steiner's scholarship bridged multiple philosophical traditions, drawing from both analytic and Continental approaches while maintaining strong connections to the Jewish philosophical tradition. His later work included explorations of religious thought and its relationship to scientific understanding.

Most readers focus on his math philosophy works, with reviews noting his ability to break down complex mathematical concepts into digestible parts. On Amazon and Goodreads, his book "The Applicability of Mathematics as a Philosophical Problem" averages 4.2/5 stars from 34 ratings. Readers praise: - Clear explanations of abstract concepts - Thoughtful analysis of mathematical realism - Engagement with both historical and modern perspectives Common criticisms: - Dense writing style requires multiple readings - Limited coverage of opposing viewpoints - High level of prerequisite knowledge needed A Goodreads reviewer wrote: "Makes profound points about mathematics' role in physics, but assumes familiarity with advanced topics." An Amazon reader noted: "Worth the effort for serious students of mathematical philosophy, but not for casual readers." His academic papers receive regular citations in mathematical journals, though less engagement from general audiences due to their technical nature.

The Applicability of Mathematics as a Philosophical Problem (1998) An analysis of how mathematics can successfully describe the physical world, examining historical developments and philosophical perspectives on mathematical physics.

Mathematical Knowledge (1975) A philosophical exploration of the nature of mathematical truth, proof, and knowledge, addressing both Platonist and empiricist viewpoints.

After Uniqueness: A Study in Religious Pluralism (2018) An examination of religious pluralism through philosophical and theological frameworks, focusing on interfaith dialogue and comparative religion.

Mathematization in Science: Between Dreams and Practice (2016) A study of how mathematical methods have been applied to scientific theories throughout history, with analysis of specific cases from physics and other sciences.

Mathematical Realism (1973) An investigation into the philosophical foundations of mathematics, discussing the existence of mathematical objects and the nature of mathematical truth.