Gottlob Frege
- LAST REVIEWED: 03 November 2022
- LAST MODIFIED: 29 September 2014
- DOI: 10.1093/obo/9780195396577-0209
- LAST REVIEWED: 03 November 2022
- LAST MODIFIED: 29 September 2014
- DOI: 10.1093/obo/9780195396577-0209
Introduction
Gottlob Frege (b. 1848–d. 1925) was a German mathematician, logician, and philosopher who is generally regarded as one of the founders of the analytic tradition in philosophy—together with Bertrand Russell, G. E. Moore, and Ludwig Wittgenstein. Frege’s main project was to demonstrate the logicist thesis that arithmetic can be reduced to logic. In attempting to do so, he revolutionized logical theory, creating the first system of modern predicate logic in his first book, Begriffsschrift (1879; the term is often left untranslated: see Main Works). In The Foundations of Arithmetic (Die Grundlagen der Arithmetik, 1884), he offered an informal account of his logicist project, showing how the natural numbers could be defined as extensions of (logically definable) concepts—roughly, what we would now call sets or classes. In Basic Laws of Arithmetic (Grundgesetze der Arithmetik, Vol. 1 [1893], Vol. 2 [1903]), he then set out to demonstrate formally, using his logical system, that arithmetic could be reduced to logic. Between the Foundations and Basic Laws he thought through—and revised—his underlying philosophical ideas, explaining them in three of his most influential essays: “Function and Concept” (1891), “On Sense and Reference” (1892), and “On Concept and Object” (1892). In 1902, however, as the second volume of Basic Laws was in press, Russell wrote to Frege informing him of a contradiction that he had discovered in Frege’s system—now known as Russell’s paradox. Frege attempted to resolve the paradox in a hastily written appendix, but he soon realized that the attempt failed and he abandoned his logicist project. He continued to work on his philosophical and logical ideas, though, planning but never completing a textbook on logic; what survived was eventually published posthumously. In the last years of his life he wrote three essays in a series called “Logical Investigations,” the first of which—“Thought”—has also been much discussed and cited. Frege influenced Russell, Rudolf Carnap (who attended two of his lecture courses), and especially Wittgenstein; however, it was only after his death that the significance of his work began to be widely recognized, and it was not until after the Second World War that his writings began to be translated into English (the only exception being the opening thirty pages of Basic Laws, which had appeared in 1915–1917). Today Frege’s place in the history of philosophy is secure, and interest in his work is still blossoming, not just in Anglo-American analytic philosophy, but also right across the world. (Acknowledgments: I would like to thank Gottfried Gabriel, Robert May, and Kai Wehmeier for comments on the first draft of this article and suggestions for additions.)
General Overviews
Overviews of Frege’s philosophy have been divided into Introductory Books, Introductory Essays, Entries in Reference Works, and More Advanced Works.
Users without a subscription are not able to see the full content on this page. Please subscribe or login.
How to Subscribe
Oxford Bibliographies Online is available by subscription and perpetual access to institutions. For more information or to contact an Oxford Sales Representative click here.
Article
- A Priori Knowledge
- Abduction and Explanatory Reasoning
- Ability
- Abortion
- Abstract Objects
- Action
- Addams, Jane
- Adorno, Theodor
- Aesthetic Hedonism
- Aesthetics, Analytic Approaches to
- Aesthetics, Continental
- Aesthetics, Environmental
- Aesthetics, History of
- African Philosophy, Contemporary
- Alexander, Samuel
- Analytic/Synthetic Distinction
- Anarchism, Philosophical
- Animal Rights
- Anscombe, G. E. M.
- Anthropic Principle, The
- Applied Ethics
- Aquinas, Thomas
- Argument Mapping
- Art and Emotion
- Art and Knowledge
- Art and Morality
- Artifacts
- Assertion
- Astell, Mary
- Atheism
- Augustine
- Aurelius, Marcus
- Austin, J. L.
- Autonomy
- Bacon, Francis
- Bayesianism
- Beauty
- Belief
- Bergson, Henri
- Berkeley, George
- Biology, Philosophy of
- Bolzano, Bernard
- Boredom, Philosophy of
- British Idealism
- Buber, Martin
- Buddhist Philosophy
- Burge, Tyler
- Business Ethics
- Camus, Albert
- Canterbury, Anselm of
- Carnap, Rudolf
- Causation
- Cavendish, Margaret
- Certainty
- Chemistry, Philosophy of
- Childhood, Philosophy of
- Chinese Philosophy
- Cognitive Ability
- Cognitive Phenomenology
- Cognitive Science, Philosophy of
- Coherentism
- Color
- Communitarianism
- Computational Science
- Computer Science, Philosophy of
- Comte, Auguste
- Concepts
- Conceptual Role Semantics
- Conditionals
- Confirmation
- Confucius
- Connectionism
- Consciousness
- Constructive Empiricism
- Contemporary Hylomorphism
- Contextualism
- Contrastivism
- Cook Wilson, John
- Cosmology, Philosophy of
- Critical Theory
- Culture and Cognition
- Daoism and Philosophy
- Davidson, Donald
- de Beauvoir, Simone
- de Montaigne, Michel
- Death
- Decision Theory
- Deleuze, Gilles
- Democracy
- Depiction
- Derrida, Jacques
- Descartes, René
- Descartes, René: Sensory Representations
- Descriptions
- Dewey, John
- Dialetheism
- Disability
- Disagreement, Epistemology of
- Disjunctivism
- Dispositions
- Doing and Allowing
- du Châtelet, Emilie
- Dummett, Michael
- Dutch Book Arguments
- Early Modern Philosophy, 1600-1750
- Eastern Orthodox Philosophical Thought
- Education, Philosophy of
- Emotion
- Engineering, Philosophy and Ethics of
- Environmental Philosophy
- Epicurus
- Epistemic Basing Relation
- Epistemic Defeat
- Epistemic Injustice
- Epistemic Justification
- Epistemic Philosophy of Logic
- Epistemology
- Epistemology and Active Externalism
- Epistemology, Bayesian
- Epistemology, Feminist
- Epistemology, Internalism and Externalism in
- Epistemology, Moral
- Epistemology of Education
- Ethical Consequentialism
- Ethical Deontology
- Ethical Intuitionism
- Eugenics and Philosophy
- Events, The Philosophy of
- Evidence
- Evidence-Based Medicine, Philosophy of
- Evidential Support Relation In Epistemology, The
- Evil
- Evolutionary Debunking Arguments in Ethics
- Evolutionary Epistemology
- Experimental Philosophy
- Explanations of Religion
- Extended Mind Thesis, The
- Externalism and Internalism in the Philosophy of Mind
- Faith, Conceptions of
- Fatalism
- Feminist Philosophy
- Feyerabend, Paul
- Fichte, Johann Gottlieb
- Fiction
- Fictionalism
- Fictionalism in the Philosophy of Mathematics
- Film, Philosophy of
- Foot, Philippa
- Foreknowledge
- Forgiveness
- Formal Epistemology
- Foucault, Michel
- Free Will
- Frege, Gottlob
- Gadamer, Hans-Georg
- Geometry, Epistemology of
- God and Possible Worlds
- God, Arguments for the Existence of
- God, The Existence and Attributes of
- Grice, Paul
- Habermas, Jürgen
- Hart, H. L. A.
- Heaven and Hell
- Hegel, Georg Wilhelm Friedrich: Aesthetics
- Hegel, Georg Wilhelm Friedrich: Metaphysics
- Hegel, Georg Wilhelm Friedrich: Philosophy of History
- Hegel, Georg Wilhelm Friedrich: Philosophy of Politics
- Heidegger, Martin: Early Works
- Hermeneutics
- Higher Education, Philosophy of
- History, Philosophy of
- Hobbes, Thomas
- Horkheimer, Max
- Human Rights
- Hume, David: Aesthetics
- Hume, David: Moral and Political Philosophy
- Husserl, Edmund
- Idealizations in Science
- Identity in Physics
- Images
- Imagination
- Imagination and Belief
- Impossible Worlds
- Incommensurability in Science
- Indian Philosophy
- Indispensability of Mathematics
- Inductive Reasoning
- Infinitism
- Instruments in Science
- Intellectual Humility
- Intentionality, Collective
- Intuitions
- James, William
- Japanese Philosophy
- Kant and the Laws of Nature
- Kant, Immanuel: Aesthetics and Teleology
- Kant, Immanuel: Ethics
- Kant, Immanuel: Theoretical Philosophy
- Kierkegaard, Søren
- Knowledge
- Knowledge-first Epistemology
- Knowledge-How
- Kuhn, Thomas S.
- Lacan, Jacques
- Lakatos, Imre
- Langer, Susanne
- Language of Thought
- Language, Philosophy of
- Latin American Philosophy
- Laws of Nature
- Legal Epistemology
- Legal Philosophy
- Legal Positivism
- Leibniz, Gottfried Wilhelm
- Levinas, Emmanuel
- Lewis, C. I.
- Liberty
- Literature, Philosophy of
- Locke, John
- Locke, John: Identity, Persons, and Personal Identity
- Logic
- Lottery and Preface Paradoxes, The
- Lucretius
- Machiavelli, Niccolò
- Martin Heidegger: Later Works
- Martin Heidegger: Middle Works
- Marx, Karl
- Material Constitution
- Mathematical Explanation
- Mathematical Pluralism
- Mathematical Structuralism
- Mathematics, Ontology of
- Mathematics, Philosophy of
- Mathematics, Visual Thinking in
- McDowell, John
- McTaggart, John
- Meaning of Life, The
- Mechanisms in Science
- Medically Assisted Dying
- Medicine, Contemporary Philosophy of
- Medieval Logic
- Medieval Philosophy
- Memory
- Mental Causation
- Mereology
- Merleau-Ponty, Maurice
- Meta-epistemological Skepticism
- Metaepistemology
- Metaethics
- Metametaphysics
- Metaphilosophy
- Metaphor
- Metaphysical Grounding
- Metaphysics, Contemporary
- Metaphysics, Feminist
- Midgley, Mary
- Mill, John Stuart
- Mind, Metaphysics of
- Modal Epistemology
- Modality
- Models and Theories in Science
- Modularity
- Montesquieu
- Moore, G. E.
- Moral Contractualism
- Moral Naturalism and Nonnaturalism
- Moral Responsibility
- Multiculturalism
- Murdoch, Iris
- Music, Analytic Philosophy of
- Nationalism
- Natural Kinds
- Naturalism in the Philosophy of Mathematics
- Naïve Realism
- Neo-Confucianism
- Neuroscience, Philosophy of
- Nietzsche, Friedrich
- Nonexistent Objects
- Normative Ethics
- Normative Foundations, Philosophy of Law:
- Normativity and Social Explanation
- Objectivity
- Occasionalism
- Olfaction
- Ontological Dependence
- Ontology of Art
- Ordinary Objects
- Other Minds
- Pacifism
- Pain
- Panpsychism
- Paradoxes
- Particularism in Ethics
- Pascal, Blaise
- Paternalism
- Patriotism
- Peirce, Charles Sanders
- Perception, Cognition, Action
- Perception, The Problem of
- Perfectionism
- Persistence
- Personal Identity
- Phenomenal Concepts
- Phenomenal Conservatism
- Phenomenology
- Philosophy for Children
- Photography, Analytic Philosophy of
- Physicalism
- Physicalism and Metaphysical Naturalism
- Physics, Experiments in
- Plato
- Plotinus
- Political Epistemology
- Political Obligation
- Political Philosophy
- Popper, Karl
- Pornography and Objectification, Analytic Approaches to
- Practical Knowledge
- Practical Moral Skepticism
- Practical Reason
- Pragmatics
- Pragmatism
- Probabilistic Representations of Belief
- Probability, Interpretations of
- Problem of Divine Hiddenness, The
- Problem of Evil, The
- Propositions
- Psychology, Philosophy of
- Punishment
- Pyrrhonism
- Qualia
- Quietism
- Quine, W. V. O.
- Race
- Racist Jokes
- Rationalism
- Rationality
- Rawls, John: Moral and Political Philosophy
- Realism and Anti-Realism
- Realization
- Reasons in Epistemology
- Reductionism in Biology
- Reference, Theory of
- Reid, Thomas
- Relativism
- Reliabilism
- Religion, Philosophy of
- Religious Belief, Epistemology of
- Religious Experience
- Religious Pluralism
- Ricoeur, Paul
- Rights
- Risk, Philosophy of
- Rorty, Richard
- Rousseau, Jean-Jacques
- Rule-Following
- Russell, Bertrand
- Ryle, Gilbert
- Sartre, Jean-Paul
- Schopenhauer, Arthur
- Science and Religion
- Science, Theoretical Virtues in
- Scientific Explanation
- Scientific Progress
- Scientific Realism
- Scientific Representation
- Scientific Revolutions
- Scotus, Duns
- Self-Knowledge
- Sellars, Wilfrid
- Semantic Externalism
- Semantic Minimalism
- Semiotics
- Seneca
- Senses, The
- Sensitivity Principle in Epistemology
- Singular Thought
- Situated Cognition
- Situationism and Virtue Theory
- Skepticism, Contemporary
- Skepticism, History of
- Slurs, Pejoratives, and Hate Speech
- Smith, Adam: Moral and Political Philosophy
- Social Aspects of Scientific Knowledge
- Social Epistemology
- Social Identity
- Sounds and Auditory Perception
- Space and Time
- Speech Acts
- Spinoza, Baruch
- Stebbing, Susan
- Strawson, P. F.
- Structural Realism
- Suicide
- Supererogation
- Supervenience
- Tarski, Alfred
- Technology, Philosophy of
- Testimony, Epistemology of
- Theoretical Terms in Science
- Thomas Aquinas' Philosophy of Religion
- Thought Experiments
- Time and Tense
- Time Travel
- Toleration
- Torture
- Transcendental Arguments
- Tropes
- Trust
- Truth
- Truth and the Aim of Belief
- Truthmaking
- Turing Test
- Two-Dimensional Semantics
- Understanding
- Uniqueness and Permissiveness in Epistemology
- Utilitarianism
- Vagueness
- Value of Knowledge
- Vienna Circle
- Virtue Epistemology
- Virtue Ethics
- Virtues, Epistemic
- Virtues, Intellectual
- Voluntarism, Doxastic
- War
- Weakness of Will
- Weil, Simone
- Well-Being
- William of Ockham
- Williams, Bernard
- Wisdom
- Wittgenstein, Ludwig: Early Works
- Wittgenstein, Ludwig: Later Works
- Wittgenstein, Ludwig: Middle Works
- Wollstonecraft, Mary