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In Defense of Mathematical Inferentialism

Seungbae Park

Analysis and Metaphysics 16:70-83 (2017)

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Can Mathematical Objects Be Causally Efficacious?Seungbae Park - 2018 - Inquiry: An Interdisciplinary Journal of Philosophy 62 (3):247–255.details Callard (2007) argues that it is metaphysically possible that a mathematical object, although abstract, causally affects the brain. I raise the following objections. First, a successful defence of mathematical realism requires not merely the metaphysical possibility but rather the actuality that a mathematical object affects the brain. Second, mathematical realists need to confront a set of three pertinent issues: why a mathematical object does not affect other concrete objects and other mathematical objects, what counts as a mathematical object, and how (...) Download Export citation Bookmark 3 citations
Two Criticisms against Mathematical Realism.Seungbae Park - 2017 - Diametros 52:96-106.details Mathematical realism asserts that mathematical objects exist in the abstract world, and that a mathematical sentence is true or false, depending on whether the abstract world is as the mathematical sentence says it is. I raise two objections against mathematical realism. First, the abstract world is queer in that it allows for contradictory states of affairs. Second, mathematical realism does not have a theoretical resource to explain why a sentence about a tricle is true or false. A tricle is an (...) Download Export citation Bookmark 2 citations
Math can’t Move Matter.Seungbae Park - 2024 - Metaphysica 1 (1):1-14.details Causal platonism asserts that mathematical objects cause neural states in human brains. I raise the following four objections to it. (i) Quantum entanglement does not show that one object can causally affect another, although one is nontemporal, nonspatial, and unchanging. (ii) Causal platonism can neither be justified a posteriori nor a priori. (iii) To postulate mathematical media to flesh out mathematical causation is to multiply mysteries beyond necessity. (iv) To say that mathematical causation is unintelligible and inexplicable is not to (...) Download Export citation Bookmark
Cultural Relativism vs. Cultural Absolutism.Seungbae Park - 2021 - Cultura 18 (2):75-91.details I defend cultural relativism against the following objections: The analogy between motion and morality is flawed. Cultural relativism has greater potential to be harmful to our daily lives than is cultural absolutism. We made moral progress when we moved from slavery to equality. There are some moral principles that are accepted by all cultures around the world. Moral argumentation is impossible within the framework of cultural relativism. We construct arguments for and against cultures. Download Export citation Bookmark
Reflections upon Science.Seungbae Park - 2025 - Korea: Korea Academic Information, Inc..details This book is intended to be a useful philosophy of science textbook for undergraduate students majoring in science and engineering. -/- The topics are selected on the basis of students’ interest and their contributions to class discussions. -/- Philosophical jargons are kept to a minimum for the convenience of readers who do not major in philosophy. -/- Renowned philosophers’ views about science are criticized and sometimes alternatives are defended. -/- Study questions at the end of each chapter are intended to (...) Download Export citation Bookmark

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