Okay so hold on. Essentially you're saying not to confuse negation with opposition because we do not want to make the mistake of ONLY looking at the opposite in an argument or premises which could lead to answering wrong (like thinking that crime definitely rose VS realizing it may have stayed on constant, been reduced, etc.??
Is there a reason why 7sage uses "/" for negation rather than "~", which is commonly used in formal logic? Is this common practice in LSAT curriculums or unique to 7sage? Just curious.
I'm thinking about the term "scorching hot" as an example.
The opposite of "scorching hot" would be "freezing cold".
The negation of "scorching hot" would be "not scorching hot".
"Not scorching hot", though it could mean "freezing cold", it could also mean "warm".
Opposition and negation do not ask you to do the same thing. By accidentally interpreting the word "negation" to mean "opposition", you will accidentally miss out on a spectrum of meanings for a negated word.
This is pretty funny for me. I am a phil. major so I have taken formal logic classes before... most languages I have used will use ~ for negation ... I have not seen a "/" before! A>~B, A, So ~B ... Anyway I am wondering if we can modify this language just a bit so it is faster to learn
@JJR remember negation is the composition of contradictions. Cold is not a type of negation; it's one contradiction. Cold does not negate hot and hot does not negate cold.
@LawMorera From what I saw on a previous comment chain the idea seems to be that we use lawgic for a few harder questions to refer back to. Also if we practice it enough it'll be intuitive for the rest of the exam.
If anyone is interested, I personally prefer to use a tilde (~) as my negation symbol. For example, instead of not P, or /P, I would use ~P. It is personally easier to write with and I learned it in my formal logic classes.
ugh. i hate that we're using a slash for negation instead of a turnstile, tilde, or even exclamation point. I'm going to confuse it for a slash between two premises.
I believe you use what ever works for you. However, more likely than not, you should use the J.Y. method because of its simplicity. The more advanced an argument, the more difficult it might be to show negation when graphing in future lessons.
I know I have not made it through all the curriculum, but I feel like the most important thing for me is just learning what the question types are asking you to solve and become so good at it it makes the questions easier. If that makes sense
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Concept of negation reminds me of the negative compartives from the Grammar section.
For example:
Tom is not taller than Athena.
Doesn't mean that Athena is taller than Tom. They could be equal heights.
Now, look at the example from this section:
The rate of violent crimes has not risen in the last 5 years.
Doesn't mean that the rate has fallen. It could remain the same.
this is just the joke that everything in the world is either a salad or not a salad
The slash negation symbolism is making my formal logic phil background go insane
this lesson unlocked something for me -- I feel my brain growing!!!!
I thought the opposite of hot was chopped
@LisetteNevarez Given a different context, linguistically you're not wrong haha.
@LisetteNevarez Thanks for a good laugh LOL
Cake or not-cake?
Okay so hold on. Essentially you're saying not to confuse negation with opposition because we do not want to make the mistake of ONLY looking at the opposite in an argument or premises which could lead to answering wrong (like thinking that crime definitely rose VS realizing it may have stayed on constant, been reduced, etc.??
"Man's not hot never hot"
Man may be...
warm
cold
cool
tepid
room temp
freezing
@ksnk5 this is amazing thank you
it is super freaky to be in discrete math and see all of the same rules apply in my LSAT studies...
@Michael.F I was literally thinking the same thing!
As a software dev, I loathe that / is used for negation rather than ! (bang).
I hate that it's not tilde!
Or do you mean... /tilde
Is there a reason why 7sage uses "/" for negation rather than "~", which is commonly used in formal logic? Is this common practice in LSAT curriculums or unique to 7sage? Just curious.
I was expecting "/" to be disjunction!
I'm thinking about the term "scorching hot" as an example.
The opposite of "scorching hot" would be "freezing cold".
The negation of "scorching hot" would be "not scorching hot".
"Not scorching hot", though it could mean "freezing cold", it could also mean "warm".
Opposition and negation do not ask you to do the same thing. By accidentally interpreting the word "negation" to mean "opposition", you will accidentally miss out on a spectrum of meanings for a negated word.
I jokingly said, "not rich" to negate rich, and I got it right, haha!
This is pretty funny for me. I am a phil. major so I have taken formal logic classes before... most languages I have used will use ~ for negation ... I have not seen a "/" before! A>~B, A, So ~B ... Anyway I am wondering if we can modify this language just a bit so it is faster to learn
From a more mathematical perspective…
Negation is distributive, and when the negation acts on ANDs and ORs, they switch.
Example:
Let’s assume our financial state is one of these four:
Rich
Comfy
Poor
Broke
Rich is then logically equivalent to (could be replaced by):
not comfy AND not poor AND not broke
So then, NOT Rich is logically equivalent to:
not (not comfy AND not poor AND not broke)
Using the distributive property of the negation (just as a negative multiple is distributed through parenthesis) and the AND to OR rule…
Not Rich = comfy OR poor OR broke
Assuming we can only have one financial state at a time, we can clearly see that the negation of Rich is not poor, but any other state besides Rich.
Hardest example for me to perceive so far: Jedi....
I dont understand how using these symbols and letters is beneficial taking time on for the LSAT
@PatrickKelly I was wondering the same thing. It feels like it would take so much time to write this all down during a timed test.
It will help you to diagram.
Diagraming will help you to get to answer easier and faster.
So cold would just be one type of negation, because it's included in not hot?
@JJR remember negation is the composition of contradictions. Cold is not a type of negation; it's one contradiction. Cold does not negate hot and hot does not negate cold.
I like the underlying lesson, but what is the purpose of Lawgic, on test day we are not going to have time nor the ability to write everything out.
@LawMorera From what I saw on a previous comment chain the idea seems to be that we use lawgic for a few harder questions to refer back to. Also if we practice it enough it'll be intuitive for the rest of the exam.
If anyone is interested, I personally prefer to use a tilde (~) as my negation symbol. For example, instead of not P, or /P, I would use ~P. It is personally easier to write with and I learned it in my formal logic classes.
garfield are you /j or /srs 🗣️🗣️🗣️
ugh. i hate that we're using a slash for negation instead of a turnstile, tilde, or even exclamation point. I'm going to confuse it for a slash between two premises.
Isn't the negation symbol:
¬
Please tell me if this is wrong or right?
I believe you use what ever works for you. However, more likely than not, you should use the J.Y. method because of its simplicity. The more advanced an argument, the more difficult it might be to show negation when graphing in future lessons.
@LegallyLawyer I thought this was the negation symbol
~
so basically negation includes both the positive and the negative as well as the constant ? for example
She has not made more than $100 in tips this week.
the negation would include that the tips have stayed constant or dropped ?
I know I have not made it through all the curriculum, but I feel like the most important thing for me is just learning what the question types are asking you to solve and become so good at it it makes the questions easier. If that makes sense