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  1. Adrian Heathcote, √ −1 as Geometric Mean Wallis' Proof Of.
    The geometric mean is also called the mean proportional. This is how the mathematicians of the √ −1. 19th Century, such as Gauss, understood..
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  2. Adrian Heathcote, Kt   D  K.
    That there is an edge at all is, of course, philosophically controversial; it would be denied by anti-realists of a verificationist stripe. However, we accept, since G¨odel, that there are true propositions of elementary arithmetic that are unprovable in arithmetic; just so, we should accept—by analogy—that there are true statements that are unknowable. An argument called the Fitch Argument tells us that it is so. Williamson has long argued that the Fitch Argument cannot by itself refute antirealism—because the anti-realist is (...)
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  3. Adrian Heathcote, Yes, but What is the Mother of Necessity?
    It’s a truism of philosophy that Realists must not postulate more than we could reasonably hope to know, while Anti-Realists must not leave us with so little that all knowledge is impossible. But balance is not easily come by—and even less in philosophy than in life. So philosophy continues to struggle over the hard cases, with neither the Realist nor the Anti-Realist able to score an easy victory.
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  4. Adrian Heathcote (forthcoming). The Truthmaker Account Is Not a Causal Theory. Acta Analytica 29 (3):1-6.
    It is argued that the part-whole account of the relation between evidence and the larger state of affairs the evidence is evidence of—an account that was elucidated in the paper ‘Truthmaking, Evidence of, and Impossibility Proofs’ (this journal)—provides a better basis for epistemology than causal relations between events. I apply this to a well-known phenomenon in physics which suggests that causal connectedness is not necessary for knowledge.
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  5. Adrian Heathcote (2014). On the Exhaustion of Mathematical Entities by Structures. Axiomathes 24 (2):167-180.
    There has been considerable discussion in the literature of one kind of identity problem that mathematical structuralism faces: the automorphism problem, in which the structure is unable to individuate the mathematical entities in its domain. Shapiro (Philos Math 16(3):285–309, 2008) has partly responded to these concerns. But I argue here that the theory faces an even more serious kind of identity problem, which the theory can’t overcome staying within its remit. I give two examples to make the point.
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  6. Adrian Heathcote (2014). Truthmaking, Evidence Of, and Impossibility Proofs. Acta Analytica 29 (3):363-375.
    Beginning with Zagzebski (The Philosophical Quarterly 44:65–73, 1994), some philosophers have argued that there can be no solution to the Gettier counterexamples within the framework of a fallibilist theory of knowledge. If true, this would be devastating, since it is believed on good grounds that infallibilism leads to scepticism. But I argue here that these purported proofs are mistaken and that the truthmaker solution to the Gettier problems is both cogent and fallibilist in nature. To show this I develop the (...)
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  7. Adrian Heathcote (2007). Force of Habit. Journal of Scottish Philosophy 5 (1):65-82.
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  8. Adrian Heathcote (2006). Truthmaking and the Gettier Problem. In Stephen Hetherington (ed.), Aspects of Knowing: Epistemological Essays. Elsevier Science. 152--67.
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  9. Adrian Heathcote (2005). An Imaginary Universe. Metascience 14 (2):179-184.
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  10. Adrian Heathcote (2004). Kt and the Diamond of Knowledge. Philosophical Books 45 (4):286-295.
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  11. Adrian Heathcote (2003). Quantum Heterodoxy: Realism at the Plank Length. Science and Education 12 (5):513-529.
  12. Adrian Heathcote (2003). Truthmaking and the Alleged Need for Relevance. Logique and Analyse 46 (183-184):345-364.
    Since 1969, when Bas van Fraassen wrote 'Facts and Tautological Entailments', it has been assumed that if facts, or states of affairs, exist at all, they can only play the role of truthmakers for propositions if the truthmaker relation is defined in a relevantist revision of classical logic. Greg Restall revived this notion in 1996, and it has since been discussed positively by Stephen Read. I argue in this paper that this was always a mistake. The truthmaking relation between facts (...)
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  13. Adrian Heathcote (1996). Comments on Forge. In P. Riggs (ed.), Natural Kinds, Laws of Nature and Scientific Methodology. Kluwer Academic Publishers. 229--233.
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  14. Adrian Heathcote (1996). Of Crows and Quarks: Reflections on the Laws of Quantum Mechanics. In. In P. Riggs (ed.), Natural Kinds, Laws of Nature and Scientific Methodology. Kluwer Academic Publishers. 145--161.
  15. Adrian Heathcote (1995). Abductive Inference and Invalidity. Theoria 61 (3):231-260.
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  16. Adrian Heathcote (1995). Inference, Explanation, and Other Frustrations: Essays in the Philosophy of Science. Philosophical Books 36 (4):283-285.
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  17. Adrian Heathcote & D. M. Armstrong (1991). Causes and Laws. Noûs 25 (1):63-73.
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  18. Adrian Heathcote (1990). Unbounded Operators and the Incompleteness of Quantum Mechanics. Philosophy of Science 57 (3):523-534.
    A proof is presented that a form of incompleteness in Quantum Mechanics follows directly from the use of unbounded operators. It is then shown that the problems that arise for such operators are not connected to the non- commutativity of many pairs of operators in Quantum Mechanics and hence are an additional source of incompleteness to that which allegedly flows from the..
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  19. Adrian Heathcote (1989). A Theory of Causality: Causality=Interaction (as Defined by a Suitable Quantum Field Theory). [REVIEW] Erkenntnis 31 (1):77 - 108.
    In this paper I put forward a suggestion for identifying causality in micro-systems with the specific quantum field theoretic interactions that occur in such systems. I first argue — along the lines of general transference theories — that such a physicalistic account is essential to an understanding of causation; I then proceed to sketch the concept of interaction as it occurs in quantum field theory and I do so from both a formal and an informal point of view. Finally, I (...)
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  20. Adrian Heathcote (1988). Zeeman-Göbel Topologies. British Journal for the Philosophy of Science 39 (2):247-261.
    Zeeman argued that the Euclidean (i. e. manifold) topology of Minkowski space-time should be replaced by a strictly finer topology that was to have a closer connection with the indefinite metric. This proposal was extended in 1976 by Rudiger Göbel and Hawking, King and McCarthy to the space-times of General Relativity. It is the purpose of this paper to argue that these suggestions for replacement misrepresent the significance of the manifold topology and overstate the necessity for a finer topology. The (...)
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