Determining Validity of Categorical Syllogisms Using Venn Diagrams

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In this video, I demonstrate how to determine validity of categorical syllogisms using three circle Venn diagrams.
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Thanks for these teachings -- very well done.

asandl
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This really helped me understand! Thank you!

rahelalevitchi
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Great sorry, but… CONCLUSION FOR ANY SYLLOGISM CAN CALCULATE INTO ALGEBRAIC FORM.
Seems for your example (2:56):

1. No F are R
2. Some C are F
- - - Yours conclusions - - -
3. Some C are not-R – INVALID CONCLUSION!

Algebraic calculation:

1. ?: No F are R (F’R)
2. I: Some C are F (CF+CF’)
- - - Calculation: ((F’R)* (CF+CF’)) /F = (F’RC) /F = RC = CR [«/F» – it’s delete middle term] - - -
3. A: There is R so as C (RC) - VALID CONCLUSION
(equivalent: 3. A: There is C so as R (CR))

Syllogist
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Your example (3:37):

1. No C are M
2. All T are M
- - - Yours conclusions - - -
3. Some T are C – INVALID CONCLUSION!

Algebraic calculation:

1. ?: No C are M (C’M)
2. A: All T are M (TM)
- - - Calculation: ((C’M)*(TM))/M = (C’TM)/M = C’T = TC’ - - -
3. A: There is T so as C’ [meaning as «M»] - VALID CONCLUSION
(equivalent: 3. A: There is C’ so as T)

More time sorry…

Syllogist