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Inductive Logic

A Thematic Compilation by Avi Sion

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Blog posts : "Actual Induction"

1. The Laws of Thought

 

Logic is founded on certain ‘laws of thought’, which were first formulated by Aristotle, an ancient Greek philosopher. We shall describe them separately here, and later consider their collective significance.

 

1.    The Law of Identity

The Law of Identity is an imperative t…

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2. Credibility

 

1.    Ground of the Laws

We began our study by presenting the laws of thought — the Laws of Identity, of Contradiction, and of the Excluded Middle — as the foundations of logic. We can see, as we proceed, that these first principles are repeatedly appealed to in reasoning and validatio…

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3. Logical Modality

 

1.    The Singular Modalities

The concepts of ‘logical modality’ enable us to predict systematically all the ways credibility may arise in knowledge over the long-term. Credibility itself is not a type of modality, but the ground and outcome of logical modality. We shall immediately de…

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4. Contextuality

 

1.    Statics

We defined logical modalities with reference to the relative credibilities of appearances ‘within contexts’. We will here try to clarify what constitutes a context, and its role.

In a very narrow, ‘logical’ sense, one might refer to the context of a proposition as …

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5. Adduction

 

1.    Logical Probability

Induction, in the widest sense, is concerned with finding the probable implications of theses. Deduction may then be viewed as the ideal or limiting case of induction, when the probability is maximal or 100%, so that the conclusion is necessary. In a narrower …

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7. Theory Selection

 

1.       The Scientific Method

The ‘scientific method’ consists in trying out every conceivable imaginary construct, and seeing which of them keep fitting all new facts, and which do not. Those which cease to fit, must be eliminated (or at least corrected). Those which continue to f…

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8. Synthetic Logic

 

1.       Synthesis

Knowledge requires inquisitiveness and creativity. It cannot advance far inertially. The role of the knower is to actively ask questions and look for answers, not to sit back passively and assume all is well. Knowledge is a constructive activity.

In forming one…

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