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Can someone please explain if there is a logical difference between "many" and "most?" I remember reading or watching in one of the logic lesson videos that there is a difference between "too many" and "most" because the former is a subjective statement. For example: "There are 'too many' social programs in the USA..." would be a subjective statement because Obama might not think there are, whereas Rand Paul might think there are. It's a matter of perspective.
Does this also extend to "many?"
Does Many = some or most? Or neither?
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RELATIONSHIP TO UNIVERSAL QUANTIFIERS Lesson 2 of 30
• Conditional logic =UQ
• UQ: learning about a relationship of complete subsumption – where 2 groups of things existed where 1 group is completely subsumed by another group (Jedi & Force users) and (watermelon subsumed by fruit-Sufficient Condition & Necessary Condition)
• Existential quantifiers
Relationship – intersection instead of 1 group being completely subsumed by another group we have 2 groups that happen to share some share of overlap
Ex: Venn diagram – size of intersection between the relation of one idea and another idea (dogs & things that are cute)
• Describes the difference between Some & Most relationships
EXISTENTIAL QUANTIFIERS BRIEF Lesson 3of 30
• There exist things such as ______ (fill in the blank- predict)
Ex: happy people v. poor people (middle intersection)
• Indicators: “SOME”
• **No such thing as a contrapositive- it does NOT exist for EXISTENTIAL QUANTIFIERS
“SOME” STATEMENTS MEANING Lesson 4 of 30
• EQ
• "Some speaks of a range”-> “All speaks of a point (100)”
• Definition of “some” is at least 1
• Starts at 1 to 100 (does not include 0)
• Ex: Some dogs are playful (1-100) → all dogs are playful (100)
• Lower bound: 1
Upper bound: 100
• 0 is not included in Some
“SOME” STATEMENTS TRANSLATE Lesson 5 of 30
• [Some] dogs (D) are cute (C)
D some C
*Some is an intersection that’s why it does not carry an arrow
• NO SUCH THING AS A CONTRAPOSITIVE =/= /D some /C- YOU KNOW TOO LITTLE TO DETERMINE IF (NON-DOGS ARE NOT CUTE? HOW DO YOU KNOW? YOU DON’T KNOW!)
“MANY” = “SOME” Lesson 6 of 30
• On the LSAT, the word “many” just means “some”
“MOST” STATEMENTS MEANING Lesson 7 of 30
• Existential Quantifier
• Intersection between two ideas
• Definition for “Most” is half plus 1
• Lower bound: 51
Upper bound: 100
• Also speaks of a range
• Ex: Most cats are furry
At least 51 of the cats are furry.
“MOST” STATEMENTS TRANSLATION Lesson 8 of 30
• Ex: [Most] Pandas (P) like to eat bamboo (EB)
More than half of the pandas like to eat bamboo
P---most-- >E
**Direction of the arrow does matter-
*”Most” is the subset of “some”
• NO CONTRAPOSITIVES!
I like to think of "many" without the m or "any" which just means 1 or more which is what "some" means. Heh, not very useful but I get a kick out of it sometimes and you need all the self entertainment you can get with the LSAT.
Yeah it's not just limited to "too many." Many just means "at least some" with a hint of subjectivity thrown in based on context. I have many cars. 3 is many to me but 3 might not be many to a famous boxer. Maybe he has 20 and that's many to him as well. Many times I've failed and that's why I succeed. Kobe Bryant missed many free throws. Yeah only because he usually doesn't miss.
many = some.
Most = more than 50%.
Most implies some ( or many).
Some does not imply most.
too many” is a comparative opinion: too many = more than desired.
Hope this helps.