Syllogisms - Revision history

Kcreasey: /* Moods */

2023-11-24T23:00:49Z

Moods

← Older revision		Revision as of 19:00, 24 November 2023
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	=== Moods ===		=== Moods ===
			These are all the combinations of both the Figures and Categorical Forms. While this gives us 64 total moods, only 19 valid direct moods and 5 sub-alternate moods, leading to 24 total valid moods.

			Each of these moods has a corresponding name.

	== Hegel's use ==		== Hegel's use ==

Kcreasey: More info

2023-11-24T22:55:58Z

More info

← Older revision		Revision as of 18:55, 24 November 2023
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	=== Figures ===		=== Figures ===
			The figures are the arrangements of the premises.

	==== Figure 1 ====		==== Figure 1 ====
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	# All <u>humans</u> are ''mammals''.		# All <u>humans</u> are ''mammals''.
	# Some '''mortals''' are ''mammals''.		# Some '''mortals''' are ''mammals''.

			=== Categorical Forms ===
			The quantitative and qualitative forms of each premise.

			The ''qualitative'' is the affirmative (+) or negative (-).

			The ''quantitative'' is the universal (∞) or the particular (finite)

			# A) Affirmatively Universal
			# E) Negatively Unviersal
			# I) Affirmatively Particular
			# O) Negatively Particular

			=== Moods ===

	== Hegel's use ==		== Hegel's use ==
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	Disjunctive: <math>P \rightarrow U^{\circ} \rightarrow S</math>		Disjunctive: <math>P \rightarrow U^{\circ} \rightarrow S</math>

	== Modern Interpretation ==		== Modern Interpretation and Figure 4 ==
	Info on Figure 4 and how ordering of the terms was deemed to be of concern. New definitions of the terms (major term is the predicate of the conclusion specifically)		Info on Figure 4 and how ordering of the terms was deemed to be of concern. New definitions of the terms (major term is the predicate of the conclusion specifically)

Kcreasey: Redid layers

2023-11-24T22:47:34Z

Redid layers

← Older revision		Revision as of 18:47, 24 November 2023
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	'''Conclusion''': Assuming the premises are true, it is then proved the major and minor terms are linked.		'''Conclusion''': Assuming the premises are true, it is then proved the major and minor terms are linked.

	== Figures ==		=== Figures ===
	=== Figure 1 ===
			==== Figure 1 ====
	The middle term is a subject in one premise and a predicate in the other		The middle term is a subject in one premise and a predicate in the other

	==== Example ====		===== Example =====

	# All <u>mammals</u> are '''creatures that have hair'''.		# All <u>mammals</u> are '''creatures that have hair'''.
	# All ''dogs'' are <u>mammals</u>.		# All ''dogs'' are <u>mammals</u>.
	# Therefore, all ''dogs'' are '''creatures that have hair'''.		# Therefore, all ''dogs'' are '''creatures that have hair'''.

	=== Figure 2 ===		==== Figure 2 ====

	# The middle term is the predicate of both premises.		# The middle term is the predicate of both premises.

	==== Example ====		===== Example =====

	# No '''states with coastlines''' are <u>states that are landlocked</u>.		# No '''states with coastlines''' are <u>states that are landlocked</u>.
	# Some ''U.S. states'' are <u>states that are landlocked</u>.		# Some ''U.S. states'' are <u>states that are landlocked</u>.
	# Therefore, some ''U.S. states'' are not '''states with coastlines'''.		# Therefore, some ''U.S. states'' are not '''states with coastlines'''.

	=== Figure 3 ===		==== Figure 3 ====
	The middle term is the subject of both premises.		The middle term is the subject of both premises.

	==== Example ====		===== Example =====

	# All <u>humans</u> are '''mortal'''.		# All <u>humans</u> are '''mortal'''.
	# All <u>humans</u> are ''mammals''.		# All <u>humans</u> are ''mammals''.

Kcreasey: /* Modern Interpretation */

2023-11-24T22:46:32Z

Modern Interpretation

← Older revision		Revision as of 18:46, 24 November 2023
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	Info on Figure 4 and how ordering of the terms was deemed to be of concern. New definitions of the terms (major term is the predicate of the conclusion specifically)		Info on Figure 4 and how ordering of the terms was deemed to be of concern. New definitions of the terms (major term is the predicate of the conclusion specifically)

	This is important has Hegel does call this out but does not use it in his logic. I have not read this part of the SoL yet - although I have of the EL1 - but I assume he takes like others have the ordering per Figure 1 doesn't matter and the reflections in this "Figure 4" are just Figure 1 with the Conclusion ordering reversed. While this may have some importance disntiction in certain views, I can see that the end result likely has no relevancy for ~~Hegel's~~ investigation of the logic.		This is important has Hegel does call this out but does not use it in his logic. I have not read this part of the SoL yet - although I have of the EL1 - but I assume he takes like others have the ordering per Figure 1 doesn't matter and the reflections in this "Figure 4" are just Figure 1 with the Conclusion ordering reversed. While this may have some importance disntiction in certain views, I can see that the end result likely has no relevancy for the investigation of the logic.

	Later review is needed to see if this ~~might be~~ mistaken ~~or not~~.		Later review is needed to see if this is mistaken.

	== External Links ==		== External Links ==

Kcreasey at 22:43, 24 November 2023

2023-11-24T22:43:44Z

@@ Line 27: / Line 27: @@
 === Figure 2 ===
 The middle term is the predicate of both premises.
 ==== Example ====
@@ Line 43: / Line 44: @@
 # All <u>humans</u> are ''mammals''.
 # Some '''mortals''' are ''mammals''.
 == Modern Interpretation ==

Kcreasey: /* Modern Interpretation */

2023-11-24T22:16:18Z

Modern Interpretation

← Older revision		Revision as of 18:16, 24 November 2023
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	==== Example ====		==== Example ====

			# All <u>humans</u> are '''mortal'''.
			# All <u>humans</u> are ''mammals''.
			# Some '''mortals''' are ''mammals''.

	== Modern Interpretation ==		== Modern Interpretation ==
	Info on Figure 4 and how ordering of the terms was deemed to be of concern. New definitions of the terms (major term is the predicate of the conclusion specifically)		Info on Figure 4 and how ordering of the terms was deemed to be of concern. New definitions of the terms (major term is the predicate of the conclusion specifically)

	This is important has Hegel does call this out but does not use it in his logic. I have not read this part of the SoL yet but I assume he takes like others have the ordering per Figure 1 doesn't matter and the reflections in this "Figure 4" are just Figure 1 with the Conclusion ordering reversed. While this may have some importance in ~~other ways~~, I can see that the end result likely has no relevancy for Hegel's investigation of the logic.		This is important has Hegel does call this out but does not use it in his logic. I have not read this part of the SoL yet - although I have of the EL1 - but I assume he takes like others have the ordering per Figure 1 doesn't matter and the reflections in this "Figure 4" are just Figure 1 with the Conclusion ordering reversed. While this may have some importance disntiction in certain views, I can see that the end result likely has no relevancy for Hegel's investigation of the logic.

			Later review is needed to see if this might be mistaken or not.

	== External Links ==		== External Links ==

Kcreasey: /* Figure 1 */

2023-11-24T22:09:05Z

Figure 1

← Older revision		Revision as of 18:09, 24 November 2023
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	== Figures ==		== Figures ==
	Aristotelian syllogisms only presented 3 figures; a fourth was posited more recently. Previously it was assumed that this fourth figure was the same as the first. Reviewed is needed but as Hegel only uses the first 3 as well, those will be focused on here

	=== Figure 1 ===		=== Figure 1 ===
	The middle term is a subject in one premise and a predicate in the other		The middle term is a subject in one premise and a predicate in the other

	==== Example ====		==== Example ====

			# All <u>mammals</u> are '''creatures that have hair'''.
			# All ''dogs'' are <u>mammals</u>.
			# Therefore, all ''dogs'' are '''creatures that have hair'''.

	=== Figure 2 ===		=== Figure 2 ===
Line 28:		Line 30:

	==== Example ====		==== Example ====

			# No '''states with coastlines''' are <u>states that are landlocked</u>.
			# Some ''U.S. states'' are <u>states that are landlocked</u>.
			# Therefore, some ''U.S. states'' are not '''states with coastlines'''.

	=== Figure 3 ===		=== Figure 3 ===
Line 33:		Line 39:

	==== Example ====		==== Example ====

			== Modern Interpretation ==
			Info on Figure 4 and how ordering of the terms was deemed to be of concern. New definitions of the terms (major term is the predicate of the conclusion specifically)

			This is important has Hegel does call this out but does not use it in his logic. I have not read this part of the SoL yet but I assume he takes like others have the ordering per Figure 1 doesn't matter and the reflections in this "Figure 4" are just Figure 1 with the Conclusion ordering reversed. While this may have some importance in other ways, I can see that the end result likely has no relevancy for Hegel's investigation of the logic.

	== External Links ==		== External Links ==

Kcreasey: Progress in Figures

2023-11-24T21:47:03Z

Progress in Figures

New page

== Basics ==
The syllogism comes in 3 propositions and has 3 terms

=== Terms ===
'''Major term:''' Term taken in the major premise

'''Minor term:''' Term taking in the minor premise

'''Middle term:''' Term that links the aforementioned terms together

=== Premises ===
'''Major premise:''' Premise that asserts a relationship between the major term and the middle term

'''Major premise:''' Premise that asserts a relationship between the minor term and the middle term

'''Conclusion''': Assuming the premises are true, it is then proved the major and minor terms are linked.

== Figures ==
Aristotelian syllogisms only presented 3 figures; a fourth was posited more recently. Previously it was assumed that this fourth figure was the same as the first. Reviewed is needed but as Hegel only uses the first 3 as well, those will be focused on here

=== Figure 1 ===
The middle term is a subject in one premise and a predicate in the other

==== Example ====

=== Figure 2 ===
The middle term is the predicate of both premises.

==== Example ====

=== Figure 3 ===
The middle term is the subject of both premises.

==== Example ====

== External Links ==
[http://www.logicmuseum.com/wiki/Syllogism Syllogism on The Logic Museum]

[[wikipedia:Syllogism|Syllogism on Wikipedia]]