Mathematical form and logical form.
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Original Question
With math, numbers are set up into an equation or a mathmatical form like 1+1=2 for example.
With logical fallacies, logic is set up into a logical form or a syllogistic form. Is the logical form like an equation for words? If so, is logic like math in the sense that its a self evident proof?
If so, are logical fallacies just as sound and self evident as 1+1=2?
Is normal conversation like throwing random numbers (premises) together and getting miscalculations (invalid arguments). While using logical fallacies like taking those random numbers (premises) and putting them into a correct mathematical equation to get the correct answers (valid arguments)?
Answers
1Is the logical form like an equation for words? If so, is logic like math in the sense that its a self evident proof?
The logical form involves taking the premises (assumptions) and the conclusion (point), and stripping away anything irrelevant to these. You then see if the premises imply the conclusion. This doesn't "prove" the conclusion is true, only that it is formally valid.
If so, are logical fallacies just as sound and self evident as 1+1=2?
Fallacies do not make for sound arguments, nor valid ones. A sound argument must be formally valid (see above) and have true premises. A valid argument must follow from the premises. In the case of fallacies, the argument doesn't follow from the premise (Non Sequitur), or the premises themselves are false/irrelevant/unreasonable (e.g. Circular Reasoning).
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