12 found
Order:
See also
Russell Marcus
Hamilton College
  1.  26
    Autonomy Platonism and the Indispensability Argument.Russell Marcus - 2015 - Lexington Books.
    This book includes detailed critical analysis of a wide variety of versions of the indispensability argument, as well as a novel approach to traditional views about mathematics.
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark   10 citations  
  2.  72
    The Holistic Presumptions of the Indispensability Argument.Russell Marcus - 2014 - Synthese 191 (15):3575-3594.
    The indispensability argument is sometimes seen as weakened by its reliance on a controversial premise of confirmation holism. Recently, some philosophers working on the indispensability argument have developed versions of the argument which, they claim, do not rely on holism. Some of these writers even claim to have strengthened the argument by eliminating the controversial premise. I argue that the apparent removal of holism leaves a lacuna in the argument. Without the holistic premise, or some other premise which facilitates the (...)
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark   6 citations  
  3.  51
    How Not to Enhance the Indispensability Argument.Russell Marcus - 2014 - Philosophia Mathematica 22 (3):345-360.
    The new explanatory or enhanced indispensability argument alleges that our mathematical beliefs are justified by their indispensable appearances in scientific explanations. This argument differs from the standard indispensability argument which focuses on the uses of mathematics in scientific theories. I argue that the new argument depends for its plausibility on an equivocation between two senses of explanation. On one sense the new argument is an oblique restatement of the standard argument. On the other sense, it is vulnerable to an instrumentalist (...)
    Direct download (6 more)  
     
    Export citation  
     
    Bookmark   4 citations  
  4.  90
    The Eleatic and the Indispensabilist.Russell Marcus - 2015 - Theoria : An International Journal for Theory, History and Fundations of Science 30 (3):415-429.
    The debate over whether we should believe that mathematical objects exist quickly leads to the question of how to determine what we should believe. Indispensabilists claim that we should believe in the existence of mathematical objects because of their ineliminable roles in scientific theory. Eleatics argue that only objects with causal properties exist. Mark Colyvan’s recent defenses of Quine’s indispensability argument against some contemporary eleatics attempt to provide reasons to favor the indispensabilist’s criterion. I show that Colyvan’s argument is not (...)
    Direct download (6 more)  
     
    Export citation  
     
    Bookmark   2 citations  
  5.  33
    The Eleatic and the Indispensabilist.Russell Marcus - manuscript
    The debate over whether we should believe that mathematical objects exist quickly leads to the question of how to determine what we should believe. Indispensabilists claim that we should believe in the existence of mathematical objects because of their ineliminable roles in scientific theory. Eleatics argue that only objects with causal properties exist. Mark Colyvan’s recent defenses of Quine’s indispensability argument against some contemporary eleatics attempt to provide reasons to favor the indispensabilist’s criterion. I show that Colyvan’s argument is not (...)
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark   2 citations  
  6. An Historical Introduction to the Philosophy of Mathematics.Russell Marcus & Mark McEvoy (eds.) - 2016 - Bloomsbury Academic.
    Brings together an impressive collection of primary sources from ancient and modern philosophy. Arranged chronologically and featuring introductory overviews explaining technical terms, this accessible reader is easy-to-follow and unrivaled in its historical scope. With selections from key thinkers such as Plato, Aristotle, Descartes, Hume and Kant, it connects the major ideas of the ancients with contemporary thinkers. A selection of recent texts from philosophers including Quine, Putnam, Field and Maddy offering insights into the current state of the discipline clearly illustrates (...)
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark   1 citation  
  7. Structuralism, Indispensability, and the Access Problem.Russell Marcus - 2007 - Facta Philosophica 9 (1):203-211.
    The access problem for mathematics arises from the supposition that the referents of mathematical terms inhabit a realm separate from us. Quine’s approach in the philosophy of mathematics dissolves the access problem, though his solution sometimes goes unrecognized, even by those who rely on his framework. This paper highlights both Quine’s position and its neglect. I argue that Michael Resnik’s structuralist, for example, has no access problem for the so-called mathematical objects he posits, despite recent criticism, since he relies on (...)
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark   2 citations  
  8.  12
    A Critical Introduction to the Philosophy of Language: Central Themes From Locke to Wittgenstein, by John Fennell. [REVIEW]Russell Marcus - 2019 - Teaching Philosophy 42 (4):417-421.
  9.  95
    Intrinsic Explanation and Field’s Dispensabilist Strategy.Russell Marcus - 2013 - International Journal of Philosophical Studies 21 (2):163-183.
    Philosophy of mathematics for the last half-century has been dominated in one way or another by Quine’s indispensability argument. The argument alleges that our best scientific theory quantifies over, and thus commits us to, mathematical objects. In this paper, I present new considerations which undermine the most serious challenge to Quine’s argument, Hartry Field’s reformulation of Newtonian Gravitational Theory.
    Direct download (8 more)  
     
    Export citation  
     
    Bookmark  
  10. Numbers Without Science.Russell Marcus - 2007 - Dissertation, The Graduate School and University Center of the City University of New York
    Numbers without Science opposes the Quine-Putnam indispensability argument, seeking to undermine the argument and reduce its profound influence. Philosophers rely on indispensability to justify mathematical knowledge using only empiricist epistemology. I argue that we need an independent account of our knowledge of mathematics. The indispensability argument, in broad form, consists of two premises. The major premise alleges that we are committed to mathematical objects if science requires them. The minor premise alleges that science in fact requires mathematical objects. The most (...)
    Direct download  
    Translate
     
     
    Export citation  
     
    Bookmark  
  11.  28
    Philosophical Method.Russell Marcus - 2019 - The Philosophers' Magazine 85:62-67.
  12.  35
    Scaffolding for Fine Philosophical Skills.Russell Marcus - 2019 - American Association of Philosophy Teachers Studies in Pedagogy 5:34-67.
    Philosophy students often struggle to master the complex skills needed to succeed in their work, especially in writing thesis-driven essays. Research over the past forty years on instructional scaffolding, both generally and as applied in philosophy, has helped teachers to refine both instruction and assignment design to improve students’ performance on complex philosophical tasks. This essay reviews the fundamentals of scaffolding in order to motivate and support some innovative in-class exercises and writing assignments that can help students develop even finer-grained (...)
    Direct download (4 more)  
     
    Export citation  
     
    Bookmark