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76 results for "inductive reasoning"
Hume’s Problems with Induction By Avi Sion
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Hume’s Problems with Induction is intended to describe and refute some of the main doubts and objections David Hume raised with regard to inductive reasoning. It replaces the so-called problem... More > of induction with a principle of induction.< Less
Hume's Problems with Induction By Avi Sion
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Hume’s Problems with Induction is intended to describe and refute some of the main doubts and objections David Hume raised with regard to inductive reasoning. It replaces the so-called problem... More > of induction with a principle of induction.< Less
A System of Logic Ratiocinative and Inductive By John Stuart Mill
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A System of Logic, Ratiocinative and Inductive is a book by English philosopher John Stuart Mill. In this work, he formulated the five principles of inductive reasoning that are known as Mill's... More > methods. This work is important insofar as it outlines the empirical principles Mill would use to justify his moral and political philosophies. An article in "Philosophy of Recent Times" has described this book as an "attempt to expound a psychological system of logic within empiricist principles.” This work was important to the history of science, being a strong influence on scientists such as Dirac.< Less
Mixed Inductive-Coinductive Reasoning: Types, Programs and Logic By Henning Basold
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Induction and coinduction are two complementary techniques used in mathematics and computer science. These techniques occur together, for example, in control systems: On the one hand, control systems... More > are expected to run until turned off and to always react to their environment. This is what we call coinductive computations. On the other hand, they have to make internal computations. Restricting these computations to terminating, that is inductive, computations ensures that the systems continue to react to their environment. We develop in this thesis techniques for programming inductive-coinductive systems, and for describing their properties and proving these properties. The focus is on developing formal languages, in which proofsare written by humans and can be verified by a computer. This ensures the correctness of those proofs and thereby of the programmed systems. Due to their generality, the developed languages are also applicable to the formalisation of mathematics.< Less
CRITICAL THOMISM AND REASON By ANTHONY J. FEJFAR,
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In this tract book, Anthony J. Fejfar discusses four types of reason, inductive reason, deductive reason, analogical reason, and distinguishment reason.
CRITICAL THOMISM AND REASON By ANTHONY J. FEJFAR,
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In this tract book, Anthony J. Fejfar discusses four types of reason, inductive reason, deductive reason, analogical reason, and distinguishment reason.
A System of Logic, Ratiocinative and Inductive, Being a Connected View of the Principles of Evidence, and the Methods of Scientific Investigation, 4th Edition By John Stuart Mill
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A System of Logic, Ratiocinative and Inductive is an 1843 book by English philosopher John Stuart Mill. In this work, he formulated the five principles of inductive reasoning that are known as Mill's... More > methods. This work is important insofar as it outlines the empirical principles Mill would use to justify his moral and political philosophies. An article in "Philosophy of Recent Times" has described this book as an "attempt to expound a psychological system of logic within empiricist principles.”< Less
Manual of Job-Related Thinking Skills By U.S. Department of Homeland Security
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The first skills in this manual are the basic thinking skills, which can be called deduction and induction. These are the two types of skills that are used in drawing conclusions from given... More > information. Deduction and induction are very similar. They differ in only two ways-- the completeness of the available information and the degree of certainty of the conclusion, as indicated below: • Deduction: The individual has all the information necessary to draw a conclusion. The conclusion is certain; it is true if the evidence is true. • Induction: The individual does not have complete evidence. He or she draws a conclusion based on the information available. The conclusion is uncertain, that is to say, probabilistic; it may not be true even if the evidence is true. In the work of DHS, deduction is typically used in applying laws and rules to specific situations. Induction is used in situations in which officers need to make on-the-spot probabilistic judgments, sometimes in life-threatening situations.< Less
Proofs By John Prince
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There are statements that have not, and perhaps cannot, be proved. Data can be displayed, and patterns can be anticipated, but a proof requires a logical process. Statistics can be used to establish... More > a link between events, but often the reliability factor is established at only 95%. Accounting firms will retest a hypothesis using a larger sample if the initial hypothesis test fails. Even then two types of errors exist for each hypothesis: rejecting it by mistake, and incorrectly accepting it. It is similar to `reasonable doubt', although some will believe the statistical claims (at least until another study is released). Any statement can be proved false by one counter example. A correct example though, only illustrates there may be a possible proof. In this book, you will explore common methods of mathematical proof using various topics. Consider it as a supplement to a text.< Less
Fundamental Methods of Logic By Matthew Knachel
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Fundamental Methods of Logic is suitable for a one-semester introduction to logic/critical reasoning course. It covers a variety of topics at an introductory level. Chapter One introduces basic... More > notions, such as arguments and explanations, validity and soundness, deductive and inductive reasoning; it also covers basic analytical techniques, such as distinguishing premises from conclusions and diagramming arguments. Chapter Two discusses informal logical fallacies. Chapters Three and Four concern deductive logic, introducing the basics of Aristotelian and Sentential Logic, respectively. Chapter Five deals with analogical and causal reasoning, including a discussion of Mill's Methods. Chapter Six covers basic probability calculations, Bayesian inference, fundamental statistical concepts and techniques, and common statistical fallacies.< Less

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