Academic discussions in Philosophy, Mathematical Logic, and Mathematics.
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Omega-Saturation, Categoricity, and Superstability of Theories
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A proof: if every uncountable model of a theory T is omega-saturated and T is superstable, then T is categorical.Av George Shibers Lectures
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Subjectivity and Agency under Oppression
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Exploring liberational theories of oppression under the principle of ontological pluralismAv George Shibers Lectures
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Domain Extension in the Philosophy Of Mathematics
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Model-completion, ultrapower-saturation and intra-theoretic rationality in mathematical practiceAv George Shibers Lectures
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A short reply to a 4-Dimensionalist attack against 3-dimensionalismAv George Shibers Lectures
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A Critique Of: 'Loyalty: An Essay on the Morality of Relationships', G. Fletcher
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A universalistic/virtue ethic critique of Fletcher's basic contention that loyalty is the central and ineliminable feature of morality.Av George Shibers Lectures
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A 'Modalist' Solution To Chrysippus' Puzzle
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A modal-essentialist solution to Chrysippus' puzzle.Av George Shibers Lectures
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A critical appraisal of Susy and String Theory: a devil's advocate's perspectiveAv George Shibers Lectures
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Mathematics and Quantum Field Theory
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Some remarks on mathematics and quantum field theory, part 1.Av George Shibers Lectures
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Fixed Points and Strongly Compact Cardinals
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Strongly compact cardinals, elementary embeddings and characterization by fixed points and fine ultrafilters.Av George Shibers Lectures
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Two versions of Curry's paradox are presented, a paradox highly regarded as the most vexing and the most threatening to a consistent and viable truth-theory, with some conclusions drawn.Av George Shibers Lectures
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Kant on teleology, reason, and autonomyAv George Shibers Lectures
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Kant on Human Spontaneity, Autonomy, the Natural Order and the Moral OrderAv George Shibers Lectures
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Studies and analyses in Kantian Philosophy.Av George Shibers Lectures
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Freedom, Responsibility, and Causation
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On the Principles Of Possible Action and Of Prevention.Av George Shibers Lectures
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The Strongest Large Cardinal Axioms
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Short of provable inconsistency, what are the strongest large cardinal axioms, and a look at extending into inconsistency with paraconsistent dialethicist truth-theoryAv George Shibers Lectures
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On The nature of first-person knowledge of intentionality
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on the illusion of first-person knowledge of intentional states and reflections what could count as neuropsychological evidence of consciousnessAv George Shibers Lectures
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Set-Theoretic Existence and Differential Equations
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On the provability or non-provability of certain mathematical theorems wiithin 'weak' subsystems of second-order number theory in relation to differential equations, in particular, the Cauchy-Peano existence-theorem for solutions to differential equationsAv George Shibers Lectures
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Strong Large Cardinals and Indestructibility
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I construct a model in which 'strongness' of a cardinal k is indestructible under k+-weakly closed Prikry Forcing, and a solution to Hajnal's ConjectureAv George Shibers Lectures
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Bayesian Conditionalization And Indexical Credence
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On the problem of shared preferences of 2 or more Bayesian decision makers and the necessity to indexicalize conditionalization, and some reflections on the impact on theory-selection in scienceAv George Shibers Lectures
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Further Reflections on Egalitarianism
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Democratic vs. Political Egalitarianism: two critiques and a look forwardAv George Shibers Lectures
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T-Duality, Mirror-Symmetry and Superstring Theory
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Some of my proofs that superstring (M) Theory is the only possible GuTheory, and some reflections on the philosophy of physics/science (the 'physical' proofs will be provided in pdf-form and linked in various groups and my page)Av George Shibers Lectures
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Reflections On Democratic Egalitarianism
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In defense of DE and the principle of luck-equality and reciprocityAv George Shibers Lectures
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Gauge/Gravity Dualities and Supersymmetry
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on supersymmetric gauge invariance and the uniqueness of superstring-M-Theory w.r.t. gauge/gravity dualities and shrodinger symmetries (lecture 3, part 2)Av George Shibers Lectures
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Aesthetic Values And Aesthetic Qualities
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On what do aestheic pleonastic evaluations and 'properties' superveneAv George Shibers Lectures
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Supercompactness, Extendibility and Vopenka's Principle
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Reflections on the relative consistency of large cardinals in the range between supercompact to Vopenka's Principle, and the limits of large cardinal axiomsAv George Shibers Lectures
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Superstring Theory and Gauge/Gravity Duality
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Supersymmetry breaking and super-gauge invariant quantum-gravity theories - part 2 (in a series on superstring M-theory)Av George Shibers Lectures
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The 'Miracles' of SuperString Theory
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Arguments from super-gauge symmetries and 'no-miracles' to show, that, up to isomorphism, superstring theory is the only coherent GuT - part 1Av George Shibers Lectures
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Meta-Ethics And The Ontology Of Morality
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A defense of non-pleonastic modal constructive contractarianism for moral ontologiesAv George Shibers Lectures
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Strongly Compact Cardinals And Elementary Embeddings
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I will prove that the class of cardinals fixed by by an elementary embedding induced by a fine ultrafilter relative to a supercompact large cardinal can be equally characterized similarly but relative to a strongly compact cardinal < supercompact cardinalAv George Shibers Lectures
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Morality, Responsibility, and Ethical Loopholes
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The principle of alternate possibility and the principle of possible action, and on the a-priori loopholes of moral theoriesAv George Shibers Lectures
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Successive Large Cardinals And Measurability: The Limits Of
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On the measurability and succession relation for large cardinals and on the ineffability of 'real' infinities'Av George Shibers Lectures
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The Limits Of Infinity And On Successive Large Cardinals
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Some criteria for 'largeness' in the theory of SuperStrong Large Cardical Axioms and on a quasi-well-ordering relation between large cardinalsAv George Shibers Lectures
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Freedom and Moral Reason, and Responsibility
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some arguments relating a metaphysical notion of freedom and deontic moral reasoning with concepts of responsibilityAv George Shibers Lectures
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Large Infinities, Supercompactness and Sharps
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A logical proof that the axiom of infinity is derivable from more basic principles, and reflections on supercompact and sharp large cardinal 'axiom'Av George Shibers Lectures
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In defense of metaphysical realism and a refutation of idealist/anti-realists conceptions of truth and 'reality'Av George Shibers Lectures
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In defense of metaphysical realism and epistemic objectivism and a paraconsistent dialethicist conception of truthAv George Shibers Lectures
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Realism, Objectivity and Science
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In defense of metaphysical and scientific realism and objecivism in scientific epistemology and the modal logic of scientific theoriesAv George Shibers Lectures
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On Strong Large Cardinal Hypotheses
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On strong hypothesis iin the theory of large cardinals, a few theorems on Supercompactness and Extendability principlesAv George Shibers Lectures
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On metaphysical realism, truth, science and objectvityAv George Shibers Lectures
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Reason, Realism, and Naturalized Epistemology
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Reflections on metaphysical realism, rationality, and why naturalized epistemologies cannot explain the very concept of a 'theory-being-true-(-or-false-or...)'Av George Shibers Lectures
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I will give the fundamental mathematical structrue of Kahlerian and Calabi-Yau manifolds, with a few comments on grand unification in theoretical physicsAv George Shibers Lectures
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Reflections on Truth and Paradox
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Theories of truth, paradoxes, validity, truth-invariance, and paraconsistent dialethicismAv George Shibers Lectures
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On Truth, Type-free Impredicativity, and Deflationism
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I will discuss deflationism re. truth and try to show that only type-free impredicative theories best handle the paradoxes and why that is an inflationary frameworkAv George Shibers Lectures
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Calabi-Yau, Kahler manifolds, and SuperSymmetry
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Some philosophical reflections on GuTheories in Physics, and the pivotal role of Kahler manifolds and SuSy, and what happens to SpaceTime under quantizationAv George Shibers Lectures
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