Logic and Language
Language, Logic and Intuition:
A summary of the philosophy underpinning this site and which points out that logic cannot be separated completely from the language in which it is stated
What a formal language is and what can be said within in and what can be said about it
Natural Language and Reality:
How philosophers have managed to become befuddled by natural language and how the difficulties are easily resolved
Thinking and Being:
How the philosopher Irad Kimhi conjures up imaginary difficulties regarding statements of non-existence
Despite claims to the contrary, the reality is that much of mathematics is not supported by logical proof
Logic and Language:
Why logic is not independent of the language in which it is stated
Non-Diagonal Proofs and Enumerations:
Why an enumeration can be possible outside of a mathematical system even though it is not possible within the system
A term that mathematicians sometimes apply disparagingly to the work of others while ignoring the logical inconsistencies in their own work
Are computer proofs as infallible as their programmers claim? The fact is that what the programmers claim can be quite different to the reality of what they have written
Rationale: Every logical argument must be defined in some language, and every language has limitations. Attempting to construct a logical argument while ignoring how the limitations of language might affect that argument is a bizarre approach. The correct acknowledgment of the interactions of logic and language explains almost all of the paradoxes, and resolves almost all of the contradictions, conundrums, and contentious issues in modern philosophy and mathematics.
Please see the menu for numerous articles of interest. Please leave a comment or send an email if you are interested in the material on this site.
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