Inductive Proofs

Inductive Proofs. Rosen 6 th ed., §4.1-4.3. Mathematical Induction. A powerful, rigorous technique for proving that a predicate P ( n ) is true for every natural number n , no matter how large. Based on a predicate-logic inference rule:

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Inductive Reasoning

Inductive Reasoning. Concepts and Principles of Construction. Basic Categories. Basic Categories. Target - the category we are interested in understanding better. Basic Categories. Target - the category we are interested in understanding better

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Inductive Reasoning

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Inductive Classification

Inductive Classification. Based on the ML lecture by Raymond J. Mooney University of Texas at Austin. Sample Category Learning Problem. Instance language: <size, color, shape> size  {small, medium, large} color  {red, blue, green} shape  {square, circle, triangle}

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Inductive Modeling

In this lecture, we shall study yet more general techniques for identifying complex non-linear models from observations of input/output behavior. These techniques make an attempt at mimicking human capabilities of vicarious learning , i.e., of learning from observation.

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Inductive Argument

Inductive Argument. Induction– admitting “wrongness”. A person travels through a town for the first time. He sees 10 people, all of them children. The person then concludes that there are no adult residents in the town.

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Inductive logic

Inductive logic. Moving from the specific to the general. What is inductive reasoning?. Logic used to move from the specific to the general E.g. “All Human Beings die” – creating a generalisation from the observation that every known Human Being has died.

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Inductive definitions:

Inductive definitions: S is the smallest set that contains some set I of initial elements and is closed for some operations. Two methods to construct S: Method I.

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Inductive Reasoning

Inductive Reasoning. Inductive Reasoning - . Reasoning that is based on patterns that your observe. Conjecture - . A conclusion you reach using inductive reasoning. Counterexample - . A conclusion you reach using inductive reasoning. Your Turn:.

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Inductive Reasoning

Inductive Reasoning. The Nature of Inductive Reasoning. What is an inductive argument? Any argument which is not deductive! I.e., any argument which does not provide a guarantee of the truth of the conclusion if the premises are true. Inductive arguments are probabalistic.

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Inductive inference

Inductive inference. Based on Graham Priest’s Logic: A very short introduction, 2000 Translation Petr Hromek (Logika, Dokořán 2007). The Red-Headed League.

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La méthode inductive ou pédagogie inductive

La méthode inductive ou pédagogie inductive. Méthode pédagogique applicable à l’enseignement des sciences Principe d’analogie entre l’apprenant et le savant. La méthode inductive ou pédagogie inductive. Observation rigoureuse et systématique de phénomènes naturels

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Inductive Amnesia

Inductive Amnesia. The Reliability of Iterated Belief Revision. Even Odd Straight Crooked Reliability “Confirmation” Performance “Primitive norms” Correctness “Coherence” Classical statistics Bayesianism Learning theory Belief Revision Theory. A Table of Opposites.

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INDUCTIVE THINKING

INDUCTIVE THINKING. With. picture. parts. ?. …an unforgettable moment in history. November 1989 Mr . Gorbachev, tear that wall down!” The Berlin Wall, a barrier between West and East Germany since 1961, finally comes down, and Germany is reunited. Another historic moment….

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Inductive Thinking

Inductive Thinking. Inductive arguments are those in which the premises are intended to provide support, but not conclusive evidence, for the conclusion.

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Inductive Predicates

Inductive Predicates. Unit vs True Inductive unit : Set := tt : unit Inductive True : Prop := I : True Curry Howard Isomorphism But Coq distinguish Proof and Program Efficiency? Proof Prevalence?. Propositional Logic. not = fun A : Prop => A -> False      : Prop -> Prop

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Inductive Reactance

Inductive Reactance. Electronics. Inductors in AC Circuits. Inductance. I nductance opposes a change in current. Inductors create a voltage that opposes the current. Counter EMF (voltage). v. L. Inductance. The Henry (symbol: H) is the SI unit of inductance .

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Inductive Transients

Inductive Transients. Introduction. Inductor Voltage. Immediately after the switch is closed, the current is still zero, (since it cannot change instantaneously). Example. E=20 V, Determine i , and V L at the instant switch is closed. Current Buildup Transients. Applying KVL:.

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Inductive Modeling

In this lecture, we shall study yet more general techniques for identifying complex non-linear models from observations of input/output behavior. These techniques make an attempt at mimicking human capabilities of vicarious learning , i.e., of learning from observation.

577 views • 56 slides

Inductive inference

Inductive inference. Based on Graham Priest’s Logic: A very short introduction, 2000 Translation Petr Hromek (Logika, Dokořán 2007). The Red-Headed League.

474 views • 46 slides

Inductive Proofs

Inductive Proofs. Rosen 6 th ed., §4.1-4.3. Mathematical Induction. A powerful, rigorous technique for proving that a predicate P ( n ) is true for every natural number n , no matter how large. Based on a predicate-logic inference rule:

174 views • 16 slides

Inductive Reasoning

Inductive Reasoning. Inductive Reasoning. The process of observing data, recognizing patterns and making generalizations about those patterns. Conjectures. A statement you believe is true but is unproven.

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