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Milestones in the History of Logic

Logic

A collection of challenging questions focusing on the origins, formalization, and key historical discoveries in the field of logic.

philosophy mathematics history
15 Questions Hard Ages 15+ Oct 2, 2026

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About this Study Set

This study set covers Logic through 15 practice questions. A collection of challenging questions focusing on the origins, formalization, and key historical discoveries in the field of logic. Every question includes the correct answer so you can learn as you go — pick any format above to get started.

Questions & Answers

Browse all 15 questions from the Milestones in the History of Logic study set below. Each question shows the correct answer — select a study format above to practice interactively.

1 Which ancient Greek philosopher is credited with inventing the first formal system of syllogistic logic?
  • A Plato
  • B Aristotle
  • C Parmenides
  • D Zeno of Elea
2 Who authored the 'Begriffsschrift' (1879), which introduced the first formal system of predicate logic and quantifier notation?
  • A Gottlob Frege
  • B Bertrand Russell
  • C George Boole
  • D Giuseppe Peano
3 In 1854, who published 'An Investigation of the Laws of Thought', effectively creating the field of Boolean algebra?
  • A Augustus De Morgan
  • B Charles Sanders Peirce
  • C George Boole
  • D William Stanley Jevons
4 The 'Liar Paradox' is often attributed to which ancient philosopher of the Megarian school?
  • A Eubulides of Miletus
  • B Diodorus Cronus
  • C Stilpo
  • D Euclid of Megara
5 What is the name of the 1910-1913 three-volume work that attempted to derive all of mathematics from pure logic?
  • A Principia Ethica
  • B The Laws of Thought
  • C Grundgesetze der Arithmetik
  • D Principia Mathematica
6 Which logician proved the First Incompleteness Theorem in 1931, demonstrating that any consistent formal system capable of arithmetic contains unprovable statements?
  • A Alfred Tarski
  • B Kurt Gödel
  • C Alan Turing
  • D Alonzo Church
7 Who was the first to use the term 'logic' in the modern sense of 'the science of reasoning'?
  • A Zeno of Citium
  • B Alexander of Aphrodisias
  • C Chrysippus
  • D Cicero
8 The 'Law of Excluded Middle' (Tertium non datur) was first explicitly formulated as a principle of logic by whom?
  • A Aristotle
  • B Leibniz
  • C Kant
  • D Hegel
9 Which invention by Charles Sanders Peirce in the 1880s provided a graphical method for representing logical relations?
  • A Venn Diagrams
  • B Existential Graphs
  • C Truth Tables
  • D Karnaugh Maps
10 Who introduced the first systematic use of 'truth tables' in their 1921 work, 'Tractatus Logico-Philosophicus'?
  • A Ludwig Wittgenstein
  • B Emil Post
  • C Bertrand Russell
  • D Rudolf Carnap
11 The 'Sequent Calculus' (LK) was introduced in 1934 by which mathematician to simplify the study of logical proofs?
  • A Gerhard Gentzen
  • B David Hilbert
  • C Jacques Herbrand
  • D Kurt Gödel
12 Which philosopher is recognized for developing the first formal system of modal logic in the 20th century?
  • A C.I. Lewis
  • B Saul Kripke
  • C Ruth Barcan Marcus
  • D Arthur Prior
13 Who first proposed the concept of a 'universal characteristic' (characteristica universalis), a language that would reduce all logical reasoning to calculation?
  • A Thomas Hobbes
  • B Gottfried Wilhelm Leibniz
  • C René Descartes
  • D Blaise Pascal
14 The term 'propositional calculus' was popularized in English by which logician in his 1903 work 'The Principles of Mathematics'?
  • A Bertrand Russell
  • B Gottlob Frege
  • C Alfred North Whitehead
  • D Quine
15 In 1936, who independently proposed the 'lambda calculus' as a formal system for expressing computation and logical deduction?
  • A Alan Turing
  • B Alonzo Church
  • C John von Neumann
  • D Emil Post
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