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'''Logician''' is a [[scholar]] skill. It is used by scholars when thinking about philosophy and mathematics [[topics]]: | '''Logician''' is a [[scholar]] skill. It is used by scholars when thinking about philosophy and mathematics [[topics]]: |
Revision as of 17:24, 20 December 2022
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v50.14 · v0.47.05 This article is about the current version of DF.Note that some content may still need to be updated. |
Logician is a scholar skill. It is used by scholars when thinking about philosophy and mathematics topics:
Topic | Description | Wikipedia link | Subdivision | Skills used in research |
---|---|---|---|---|
Nature of beauty | Discourse on the nature of beauty | Beauty (ancient thought) | Aesthetics | Critical thinker |
Value of art | Discourse on the value of art | Aesthetics | Aesthetics | Critical thinker |
Belief | Discourse on the nature of belief | Epistemology § Belief | Epistemology | Critical thinker |
Justification | Discourse on the nature of justification | Epistemology § Justification | Epistemology | Critical thinker |
Perception | Discourse on the nature of perception | Philosophy of perception | Epistemology | Critical thinker |
Truth | Discourse on the nature of truth | Epistemology § Truth | Epistemology | Critical thinker |
Individual value | Discourse on the meaning of individual happiness | Value (ethics) § Personal values | Ethics | Critical thinker |
State consequentialism | Discourse on ethics as applied to the benefit of the state | State consequentialism | Ethics | Critical thinker |
Interpersonal conduct | Discourse on ethics as applied to interpersonal conduct | Value (ethics) § Cultural values | Ethics (applied) | Critical thinker |
Medical | Discourse on medical ethics | Medical ethics | Ethics (applied) | Critical thinker |
Military | Discourse on ethics as applied to war | Ethics § Military ethics | Ethics (applied) | Critical thinker |
Analogical inference | Analogical inference | Argument from analogy | Logic | Logician |
Deductive reasoning | Deductive reasoning | Deductive reasoning | Logic | Logician |
Dialectic reasoning | Dialectic reasoning. Books on this topic will instead talk about using the dialogue, as this opens up the dialogue literary form. | Dialectic | Logic | Logician |
Direct inference | Direct inference | Statistical syllogism | Logic | Logician |
Formal reasoning | Formal reasoning | Reason | Logic | Logician |
Hypothetical syllogisms | Hypothetical syllogisms | Hypothetical syllogism | Logic | Logician |
Inductive reasoning | Inductive reasoning | Inductive reasoning | Logic | Logician |
Propositional logic | Propositional calculus | Logic | ||
Syllogistic logic | Syllogistic logic | Syllogism | Logic | Logician |
Causation | The nature of causation | Causality | Metaphysics | Critical thinker |
Events | Discourse on the nature of events | Event (philosophy) | Metaphysics | Critical thinker |
Existence | The nature of existence. | Existence | Metaphysics | Critical thinker |
Mind body | Discourse on the nature of mind and body | Mind–body problem | Metaphysics | Critical thinker |
Objects and properties | The relationship between objects and their properties | Essence | Metaphysics | Critical thinker |
Processes | The nature of processes | Process philosophy | Metaphysics | Critical thinker |
Time | Discourse on the nature of time | Time | Metaphysics | Critical thinker |
Wholes and parts | The relationship between wholes and parts | Mereology | Metaphysics | Critical thinker |
Education | Education, its forms and recommendations | Education | Specialized | Critical thinker |
Law | Discourse on law | Law | Specialized | Critical thinker |
Dictionary | Dictionaries | Dictionary | Specialized (language) | Critical thinker |
Etymology | The notion of etymology | Etymology | Specialized (language) | Critical thinker |
Grammar | Grammar | Grammar | Specialized (language) | Critical thinker |
Diplomacy | Discourse on diplomacy | Diplomacy | Specialized (politics) | Critical thinker |
Economic policy | Discourse on economic policy | Economic policy | Specialized (politics) | Critical thinker |
Government forms | Discourse on government | Government | Specialized (politics) | Critical thinker |
Social welfare | Discourse on social welfare | Welfare | Specialized (politics) | Critical thinker |
Value agendas | The philosopher will choose a belief that they have and write about the "worthlessness/nuances/value of (belief)". Reading these books will result in a dwarf's (or adventurer's) values changing. [1] [2] | Propaganda | n/a |
Topic | Description | Wikipedia link | Subdivision | Skills used in research |
---|---|---|---|---|
Divergence of harmonic series | The divergence of the harmonic series | Harmonic series (mathematics) | Algebra | Mathematician |
Equations | The technique of balancing and completion for solving equations | The Compendious Book on Calculation by Completion and Balancing, Algebra, and Equation | Algebra | Mathematician |
Large sums | Simple formulas for certain arbitrarily large sums | Summation | Algebra | Mathematician |
Pascal's triangle | A triangular configuration of numbers relating to the successive powers of any sum | Pascal's triangle | Algebra | Mathematician |
Quadratic by completing square | The solving of quadratic equations by completion of the square | Completing the square | Algebra | Mathematician |
Quadratic formula | A formula which solves quadratic equations | Quadratic formula | Algebra | Mathematician |
Solving higher order polynomials | Methods for solving certain equations involving powers higher than the quadratic | Galois theory | Algebra | Mathematician |
Systems of equations | Methods of solving systems of equations | Linear system | Algebra | Mathematician |
Area enclosed by line and parabola | The area enclosed by a parabola and a line | The Quadrature of the Parabola | Geometry | Mathematician |
Area of circle | Area of a disk | Geometry | Mathematician | |
Area of triangle from side lengths | The computation of the area of a triangle from its three side lengths alone | Heron's formula | Geometry | Mathematician |
Basic geometry | Geometric objects: points, lines, circles, triangles, and so on | Geometry | Geometry | Mathematician |
Chords | The properties of chords | Chord (geometry) | Geometry | Mathematician |
Chord tables | A table of chord lengths indexed by angle | Ptolemy's table of chords | Geometry | Mathematician |
Conic sections | The categorization and properties of conic sections | Conic section | Geometry | Mathematician |
Existence of pi | The relationship between the area of a circle and its radius, involving the ratio of the circumference of the circle to its diameter | Pi | Geometry | Mathematician |
Geometric mean | The relationship between the length of the altitude of a right triangle and the lengths of the segments into which it divides the hypotenuse | Geometric mean theorem | Geometry | Mathematician |
Inscribed triangle on diameter is right | The angles of triangles inscribed in a circle with one edge on the diameter | Thales' theorem | Geometry | Mathematician |
Irrational numbers | The existence of incommensurable ratios | Irrational number | Geometry | Mathematician |
Isosceles base angles equal | The equality of the base angle of isosceles triangles | Pons asinorum | Geometry | Mathematician |
Law of sines | The relatonship between the half chords of lengths and the diameter of the triangle’s circumscribed circle. | Law of sines | Geometry | Mathematician |
Pi to 6 digits | Zu Chongzhi § Mathematics and Milü | Geometry | Mathematician | |
Pythagorean theorem | The relationship between the lengths of the hypotenuse of a right triangle and the other two sides | Pythagorean theorem | Geometry | Mathematician |
Pythagorean triples 3 digit | Examples of triples of large whole numbers which, when taken together, are the lengths of the sides of a right triangle | Pythagorean triples | Geometry | Mathematician |
Pythagorean triples 4 digit | Examples of triples of very large whole numbers which, when taken together, are the lengths of the sides of a right triangle | Pythagorean triples | Geometry | Mathematician |
Pythagorean triples small | Examples of triples of small whole numbers which, when taken together, are the lengths of the sides of a right triangle | Pythagorean triples | Geometry | Mathematician |
Similar and congruent triangles | The properties of similar and congruent triangles | Similarity (geometry) and Congruence (geometry) | Geometry | Mathematician |
Sum-difference trig identities | Trigonometric identities relating to the sums and differences of angles | List of trigonometric identities § Angle sum and difference identities | Geometry | Mathematician |
Surface area of sphere | The computation of the surface area of a sphere | Sphere § Surface area | Geometry | Mathematician |
Volume of cone | The computation of the volume of a cone | Cone § Volume | Geometry | Mathematician |
Volume of pyramid | The computation of the volume of different pyramids | Pyramid (geometry) § Volume | Geometry | Mathematician |
Volume of sphere | The computation of the volume of a sphere | Sphere § Volume | Geometry | Mathematician |
Axioms | Axiomatic reasoning | Axiomatic system | Method | Logician |
Method of exhaustion | An approximation of the ratio of a circumference of a circle to its diameter, using the area of polygons and the method of exhaustion | Method of exhaustion | Method | Logician |
Proof by contradiction | The method of proof by contradiction | Proof by contradiction | Method | Logician |
Algebra | Notation for abbreviating the unknown and other elements of an equation in a systematic and useful fashion | Algebra | Notation | Logician |
Negative numbers | Notation for negative quantities | Negative number | Notation | Logician |
Place values | Positional notation | Positional notation | Notation | Logician |
Scientific notation | Notation for very large and very small numbers | Scientific notation | Notation | Logician |
Symbol for addition | The idea of using symbolic notation for addition | Plus and minus signs § Plus sign | Notation | Logician |
Zero | A symbol for nothingness | 0 (number) | Notation | Logician |
Approximation of root 2 | An approximation for the length of the diagonal of a square | Square root of 2 § History | Numbers | Mathematician |
Chinese remainder algorithm | An algorithm for computing a number which has given remainders when divided by several given primes | Chinese remainder theorem | Numbers | Mathematician |
Division | An algorithm for dividing one number into another, possibly yielding a remainder | Euclidean division | Numbers | Mathematician |
Euclid's Theorem | A proof that there are infinitely many prime numbers | Euclid's theorem | Numbers | Mathematician |
Euclidean Algorithm | An algorithm for computing the greatest common divisor of two numbers | Euclidean algorithm | Numbers | Mathematician |
Irrationality of root 2 | A proof that the length of a diagonal of a square is incommensurable with its edge | Square root of 2 § Proofs of irrationality | Numbers | Mathematician |
Sieve algorithm for primes | An algorithm for calculating prime numbers | Sieve of Eratosthenes | Numbers | Mathematician |
Unique prime factorization | The unique decomposition of a number into products of its prime divisors | Fundamental theorem of arithmetic | Numbers | Mathematician |
Miner | |||||||
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Woodworker | |||||||
Stoneworker | |||||||
Ranger | |||||||
Doctor | |||||||
Farmer | |||||||
Fishery worker | |||||||
Metalsmith | |||||||
Jeweler | |||||||
Craftsdwarf |
Bookbinder · Bone carver · Clothier · Glassmaker · Glazer · Leatherworker · Papermaker · Potter · Stone crafter · Strand extractor · Wax worker · Weaver · Wood crafter | ||||||
Engineer | |||||||
Administrator | |||||||
Military |
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Social |
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Performance |
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Scholar |
Critical thinker · Logician · Mathematician · Astronomer · Chemist · Geographer · Optics engineer · Fluid engineer · Wordsmith · Writer | ||||||
Other/Peasant | |||||||
Unused |