Traditional Classification of Proposition
Simple proposition
Affirms or denies
predicate of Subject
Compound proposition
Assertion
Under certain condition
These Two to be read in a manner of relation- not to deep but relatable
Categorical and conditional Proposition
Categorical
Conditional
Hypothetical
Disjunctive
Affirms or denies
predicate of subject
Absolutely
Assertion made subject
To expressed condition
Condition
with consequences followed from it
antecedent
Consequent
States condition
Expresses Consequence
Alternatives are stated
at least one of it is true
Keynes considered
non exclusive
Reminder ; disjunctive proposition outline method
Quality of proposition
Classified as
This definition is valid only for categorical proposition
Classification Basis
Affirmative
Negative
However
Hypothetical prop can be classified accordingly
Hypothetical prop
affirmative
negative
consequent follows antecedent (condition)
consequent doesn't follow antecedent (condition)
Disjunctive Prop
Always affirmative
No distinctions of quality
Quantity of proposition
Exceptional Case
predicate
denied or affirmed
Signs of Quantity
Whole
subject
Then
universal
part of
Subject
Then
Particular
All
Some
Remember :Only these two are signs of quantity ☝👆
No
Important: It is used to express quantity as well as quality
Some
posibility
that assertion may be about 'all'
Fact: Only , universal when we are certain predicate applies to whole subject
read this with 'some'☝
Used
When
assertion is about a part
Bcoz
Of its non exclusive nature (clarification needed)
Fourfold Classification Of Proposition
Classification
According to
Quantity and Quality
Universal
Affirmative
Negative
Predicate
Predicate
Affirmed
Of Whole Subject
Denied
Of Whole Subject
All S are p
No S are p
Particular
Affirmative
Negative
Predicate
Affirmed
Of Part of subject
Predicate
Denied
Of Part of subject
Some S are P
Some S are not P
Quantity and Quality
Denoted more Conveniently
As A E I O
U Surely Know this
Kant
Added
Singular proposition
under the said head
Singular Proposition
predicate
affirmed or denied
single definite individual
They r universal
According to traditional logician copula should be in present tense of word to be
Copula
This a fact - which nobody cares about
All - Each- Every -Any
Affirmative
Negative
Bring to form of A Proposition
Bring to O propostition
Collective and Distributive Use of Subject Term
Collective
Distributive
When attribute applies to all the members of the class taken together
When attribute applies each member of the class separately
subject term is taken collectively ,here.
So predicate is denied or affirmed of the subject
Hence it is universal
subject term is taken distributively,here.
When
Affirmed
Denied
Universal Affirmative
Particular Negative
Conceptual Data
Bcoz
'All not'
Means 'Some not'
Exceptions are born out in this case 👆
Reminder : Refer to examples of this , if required
Articles
Situation
a and an
mean 'any' or 'all'
Reduce to form of 'A proposition'
They are used before subject term to indicate quantity
mean 'one thing'
Reduce to form of 'E proposition'
Refer to the examples effectively 👆
Noteworthy examples for reduction of prop
Quantity signs - always, whatever ,wherever, whenever, invariably, necessarily and absolutely
Similar to quantify sign 'all'
Hence Universal in nature
A and E - depending , on situation
no,never,not at all, and not a single
Reduction to E proposition
Bcoz , predicate is denied of subject
most ,many,a few,certain, almost all, all but one, and several
Particular Proposition
I and O - depending, on situation
mostly,generally, frequently, often, perhaps, nearly always, sometimes and occasionally
Indicates
Particular Proposition
Deep Fucking examples
Few
It has negative significance
Means - ' Some not'
Occurs in a negative sentence
Reduced to form of I proposition
A Few
Different from 'few'
It has positive force
Reduce to form of I and O - depending, on situation
Numerically Definite Proposition
Predicate
Is affirmed or denied of some definite proportion of the subject
Keynes View is accepted
Proposition Give exact info about the exact proportion
examples are imp here : refer it in the book
Indefinite Proposition
Quantity is not defined
They do not contain words such as some, all, most and many
we have to decide from the info that is provided, whether, prop is universal or particular
Includes
Proverb
Because of universal force , reduce it to universal proposition.
Reminder ( Attention Required ) I have skipped ,some of the reduction of prop types, because I thought they were repetitive .Eventually ,I thought to create and do something more innovative as , my mind is in a position to do it.
Which is determined by copula -i have a pun here
bcoz subject term is single individual which is taken under an entire denotation
Unclear analogy - Simple Prop
Sentence must be affirmative
Affirmative - A prop, Negative - E prop
Occurring in affirmative sentence - I prop and contrary for O prop
I and O -depending, on proposition