L.T.F. Gamut (1949)

 

 

Susan Haack (1945) Deviant Logic, Philosophy of Logics

 

 

Trudy Govier (1944) A Practical Study of Argument

 

Jon Barwise (1942-2000) "The Situation in Logic," "Language, Proof and Logic"

 

 

David K Lewis (1941-2001) Parts of Classes

 

 

George Boolos (1940-1996) "Logic, Logic, and Logic,"

"The Logic of Provability," "Computability and Logic"

 

 

Saul Aaron Kripke (1940) A Completeness Theorem in Modal Logic, Semantical Considerations on Modal Logic

 

Dag Prawitz (1936) is best known for his work on proof theory and the foundations of natural deduction

 

 

Jerry Fodor (1935)

 

Dana Scott (1932)

 

Nuel Belnap (1930)

 

Newton da Costa (1929) On the theory of inconsistent formal systems,

Paraconsistent logic, Is there a Zande Logic?, On Jaskowski's Discussive Logic

 

 

Jaakko Hintikka (1929) The Logic of Epistemology and the Epistemology of Logic,

Analyses of Aristotle, Inquiry as Inquiry: A Logic of Scientific Discovery,
Language, Truth and Logic in Mathematics

 

Howard Kahane (1928-2001) Logic and Contemporary Rhetoric: The Use of Reason in Everyday Life

 

 

Michael A. E. Dummett (1925) The Logical Basis of Metaphysics, Origins of Analytical Philosophy

 

 

Ruth Barcan Marcus (1921) "The Logical Enterprise,"

"Logic, Methodology and Philosophy of Science"

 

Lotfi Zadeh (1921) showed that fuzzy logic is a generalisation of classical logic

 

 

P. F. Strawson (1919) Introduction to Logical Theory

 

 

Peter Geach (1916)

 

 

G. H. von Wright (1916) The Logical Problem of

Induction, An Essay in Modal Logic, Deontic Logic

 

Paul Lorenzen (1915-1995) Normative Logic and Ethics, Logical Propaedeutic

 

Arthur Prior (1914-1969) Formal Logic

 

 

Alan Turing (1912-1954)

 

 

Stephen Cole Kleene (1909-1994) Mathematical Logic

 

 

Gerhard Gentzen (1909-1945)

 

 

Willard van Orman Quine (1908-2000) Mathematical Logic, Elementary Logic, Methods of Logic

 

Evert Willem Beth (1908-1964) Formal Methods: An introduction to

symbolic logic and to the study of effective operations in arithmetic and logic

 

J. Barkley Rosser (1907-1989) proved a stronger version of Gödel's first incompleteness theorem

 

 

Kurt Gödel (1906-1978) Über formal unentscheidbare Sätze

der Principia Mathematica und verwandter Systeme

 

C. A. Meredith (1904-1976)

 

Adolf Lindenbaum (1904-1941)

 

 

Alonzo Church (1903-1995) proved that Peano arithmetic and first order

logic are undecidable. The latter result is known as Church's theorem

 

 

John von Neumann (1903-1957)

 

 

Frank Plumpton Ramsey (1903-1930) On a problem of formal logic

 

Józef Maria Bocheński (1902-1995)

 

 

Karl Popper (1902-1994) Logik der Forschung

 

 

Ernest Nagel (1901-1985) The Structure of Science: Problems in the Logic of Scientific

Explanation, An Introduction to Logic and Scientific Method, Logic without Metaphysics

 

 

Alfred Tarski (1901-1983) Logic, Semantics, Metamathematics

 

Gotthard Günther (1900-1984) Die philosophische Idee einer nicht-Aristotelischen Logik

 

 

Haskell Curry (1900-1982) Combinatory Logic, Foundations of Mathematical Logic

 

Arend Heyting (1898-1980) developed intuitionistic logic

 

 

Emil Leon Post (1897-1954) proved in his Columbia University doctoral thesis, among other things, that the propositional

 calculus of Principia Mathematica was complete: all tautologies are theorems, given the Principia axioms and a rule of

 uniform substitution. Van Heijenoort's (1966) source book on mathematical logic reprinted Post's classic article setting out

 this result. This thesis also devised truth tables independently of Wittgenstein and Charles Peirce and put them to good

 mathematical use

 

 

Wilhelm Ackermann (1896-1962) Grundzüge der theoretischen Logik

 

 

Susanne Langer (1895-1985) An Introduction to Symbolic Logic

 

Jean George Pierre Nicod (1893-1924)

 

 

Rudolf Carnap (1891-1970) Abriss der Logistik

 

 

Hans Reichenbach (1891-1953) Elements of symbolic logic

 

 

Kazimierz Ajdukiewicz (1890-1963) Pragmatic Logic

 

 

Ludwig Wittgenstein (1889-1951) Tractatus Logico-Philosophicus

 

 

Moses Schönfinkel (1889-1942) invented combinatory logic independently of, and

a little earlier than, Haskell Curry, "Über die Bausteine der mathematischen Logik"

 

 

Paul Bernays (1888-1977) mathematical logican

 

Thoralf Skolem (1887-1963) mathematical logican

 

 

Tadeusz Kotarbinski (1886-1981) Leçons sur l'histoire de la logique

 

 

Leon Chwistek (1884-1944)

 

Heinrich Scholz (1884-1956)

 

 

Clarence Irving Lewis (1883-1964) A Survey of Symbolic Logic, Symbolic Logic

 

Henry Maurice Sheffer (1882-1964)

 

 

Luitzgen Egbertus Jan Brouwer (1881-1966) Beweis des Jordanschen Satzes für N Dimensionen

 

 

Ernst Mally (1879-1944) was one of the founders of Deontic logic

 

 

Jan Łukasiewicz (1878-1956) worked on multi-valued logics, including his own three-valued propositional

calculus, the first non-classical logical calculus. He is responsible for one of the most elegant axiomatizations

of classical propositional logic; it has just three axioms and is one of the most used axiomatizations today

 

 

Leopold Löwenheim (1878-1957) Über Möglichkeiten im Relativkalkül

 

 

Bertrand Russell (1872-1970) Principia Mathematica,

Introduction to mathematical philosophy

 

 

Fyodor Shcherbatskoy (1866-1942) Theory of Knowledge and Logic According to the Later Buddhists

 

 

Kazimierz Twardowski (1866-1938) established the Lwów-Warsaw 

School of logic and became the "father of Polish logic"

 

 

David Hilbert (1862-1943) Grundzüge der theoretischen Logik

 

 

Alfred North Whitehead (1861-1947) Principia Mathematica

 

 

Edmund Husserl (1859-1938) Logische Untersuchungen, Formale und

transzendentale Logik. Versuch einer Kritik der logischen Vernunft

 

William Ernest Johnson (1858-1931) Logic

 

 

Giuseppe Peano (1858-1932) Applicazioni Geometriche del Calcolo Infinitesimale

 

 

Nikola Tesla (1856-1943) invented the electronic AND logic gate circuit

 

 

Josiah Royce (1855-1916) Principles of Logic

 

John Cook Wilson (1849-1915)

 

 

Gottlob Frege (1848-1925) Begriffsschrift, Grundgesetze der Arithmetik

 

 

Wilhelm Windelband (1848-1915) Theories in Logic

 

 

F. H. Bradley (1846-1924)

 

 

Georg Cantor (1845-1918) invented set theory

 

 

Ernst Schröder (1841-1902) his "Vorlesungen über die Algebra der Logik" prepared the way for the

emergence of mathematical logic as a separate discipline in the twentieth century by systematizing the

various systems of formal logic of the day

 

 

Charles S. Peirce (1839-1914) Studies in Logic

 

Hugh MacColl (1837-1909) published a four-part article setting out the first known variant of the

propositional calculus, calling it the "calculus of equivalent statements", anteceding Frege's Begriffschrifft

 

 

John Venn (1834-1923) introduced the Venn diagrams in  his work "Symbolic Logic."

"The Logic of Chance" and "The Principles of Empirical Logic" completed his logical writings

 

 

Lewis Carroll (1832-1898) Symbolic Logic

 

 

Christoph von Sigwart (1830-1894) Logik

 

 

Henry Longueville Mansel (1820-1871) Prolegomena logica: an

Inquiry into the Psychological Character of Logical Processes

 

Karl von Prantl (1820-1888) Geschichte der Logik im Abendland

 

Friedrich Harms (1819-1880) "Geschichte der Logik," "Logik"

 

 

Rudolf Hermann Lotze (1817-1881) Logik

 

 

George Boole (1815-1864) "Mathematical Analysis of Logic," "An Investigation of the Laws

of Thought, on which are founded the Mathematical Theories of Logic and Probabilities"

 

 

Augustus De Morgan (1806-1871) Formal Logic, De Morgan's laws

 

 

Hermann Ulrici (1806-1884) Über Princip u. Methode der Hegelschen

Philosophie, Grundprincip der Philosophie, System der Logik

 

 

John Stuart Mill (1806-1873) A System of Logic

 

 

Jules Barthélemy-Saint-Hilaire (1805-1895) De la Logique d’Aristote

 

 

Friedrich Adolf Trendelenburg (1802-1872) Elementa inices Aristoteticae, Erlauterungen zu den

Elementen der Aristotelischen Logik, Logische Untersuchungen, Die logische Frage in Hegels System

 

 

Heinrich Moritz Chalybäus (1796-1862)

 

William Whewell (1794-1866) History of the Inductive Sciences, from the Earliest to the Present Time

 

 

Arthur Schopenhauer (1788-1860) On the Fourfold Root of the Principle of Sufficient Reason

 

William Hamilton (1788-1856) Lectures on Logic

 

 

Bernard Bolzano (1781-1848) The Paradoxes of the Infinite

 

 

Jakob Friedrich Fries (1773-1843) System der Logik

 

 

Georg Wilhelm Friedrich Hegel (1770-1831) Science of Logic

 

Christoph Gottfried Bardili (1761-1808) Grundriss der ersten Logik

 

 

Immanuel Kant (1724-1804) The False Subtlety of the Four Syllogistic Figures

 

 

Etienne Bonnot de Condillac (1714-1780) Logique

 

 

Francis Hutcheson (1694-1746) Compendium of Logic

 

 

Hermann Samuel Reimarus (1694-1768) Vernunftlehre als Anweisung zum richtigen Gebrauche der Vernunft

 

 

Giambattista Vico (1668-1744) New Science

 

 

Christian Wolff (1679-1754) Philosophia rationalis, sive logica

 

 

Isaac Watts (1674-1748) Logick: Or, the Right Use of Reason

 

Gershom Carmichael (1672-1729) Breviuscula Introductio ad Logicam

 

 

Gottfried Wilhelm Leibniz (1646-1716) proposed an alphabet of human thought

 

Arnold Geulincx (1624-1669)

 

Johannes Clauberg (1622-1665) Logica vetus et nova

 

 

Antoine Arnauld (1612-1694) "La logique, ou l'art de penser" is commonly known as the Port-Royal Logic

 

 

René Descartes (1596-1650) resolved the omnipotence paradox by

proposing that an omnipotent being can do the logically impossible

 

 

Pierre Gassendi (1592-1655) Syntagma philosophicum

 

 

Francis Bacon (1561-1626) Novum Organum

 

 

Francisco Suarez (1548-1617) Metaphysical Disputations

 

 

Jacopo Zabarella (1532-1589) Opera Logica

 

 

Petrus Ramus (1515-1572) Quecumque ab Aristotele dicat essent, commentita esse

 

John Mair (1467-1550) Lectures in logic, Quaestiones logicales

 

 

Rodolphus Agricola (1443-1485) De inventione dialectica

 

Paul of Venice (1368-1429) Logica parva et logica magna

 

 

Marsilius of Inghen (1330-1396)

 

Albert of Saxony (1316-1390) Perutilis logica, Quaestiones logicales, Quaestiones on the Ars Vetus

 

 

Jean Buridan (1300-1358) Compendium Logicae, Summa de Dialecticâ, Buridan's ass

 

 

William of Ockham (1285-1349) Ockham's Razor, Summa logicae

 

Walter Burley (1275-1344)

 

 

John Duns Scotus (1266-1308)

 

Giles of Rome (1243-1316)

 

 

Robert Kilwardby (1215-1279)

 

 

Roger Bacon (1214-1293) Opus Majus

 

 

Peter of Spain (1205-1277) Scholastic Logic

 

William of Sherwood (1190-1249) was the author of two books which were an important influence on the development of

Scholastic logic: Introductiones in Logicam (Introduction to Logic), and Syncategoremata. These are the first known works

to deal in a systematic way with what is now called supposition theory, known in William's time as the logica moderna

 

Adam Parvipontanus (d. 1181) Ars disserendi

 

 

Robert Grosseteste (1168-1253)

 

Abu al-Hakam al-Kirmani (12th century)

 

 

Averroës (1126-1198) was one of the first philosophers to propose the omnipotence paradox

 

John of Salisbury (1120-1180) Metalogicon

 

 

Pierre Abélard (1079-1142)

 

Gilbert de la Porrée (1070-1154) De sex principiis

 

 

Adelard of Bath (1070-1145)

 

 

Abu Hamid al Ghazali (1058-1111) composed three works on Aristotelian logic,

Mi'yar al-'ilm (The Standard Measure of Knowledge), Mihakk al-nazar f'l-mantiq

(The Touchstone of Proof in Logic) and al-Qistas al-mustaqim (The Just Balance)

 

 

Abu Nasr al Farabi (870-950)

 

 

Dharmakirti (circa 7th century) Seven Treatises on Valid Cognition

 

 

Dignaga (5th century) Treatise on the Correct Principles of Logic

 

 

Anicius Manlius Severinus Boethius (480-525)

 

 

Porphyry (232-304) Introduction to Categories

 

 

Cicero (106-43)

 

Aksapada Gautama (2nd century bc) was a logician who authored the Nyaya

Sutras, considered the foundation of the Nyaya school of Hinduism

 

 

Posidonius (153-51 bc) compared the three categories of Stoic philosophy to a living being, with physics the meat and

 blood, logic the bones and tendons which held the organism together, and ethics – the most important part – the soul

 

 

Chrysippus (279-207 bc) systematized Stoicism into ethics, logic and physics

 

Kung sun Lung Tzu (300 bc) was a noted member of the Logicians

school of Chinese philosophy. Said that "A white horse is not a horse"

 

 

Zeno of Citium (336-264 bc) introduced the term "logic" to replace Aristotle`s term "analytic"

 

Philo of Megara (4th cent. bc)

 

Diodorus Cronus (340-280 bc)

 

 

Theophrastus (372-287 bc)

 

Eubulides of Miletus (375-300 bc) formulated the liar and the Sorites paradox

 

 

Aristotle (384-322 bc) intoduced syllogisms and modal logic

 

 

Euclides of Megara (430-360 bc)

 

 

the Sophists

 

 

Zeno of Elea (490-430 bc) was called by Aristotle the inventor of

dialectic, he is best known for his space and motion paradoxes

 

 

Parmenides (510-450 bc)

 

 

Heraclitus (535-475 bc)

 

 

Epimenides (6th century bc) was a Cretan who made one immortal statement: "All Cretans are liars."