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Modern Classification of Propositions (Compound Proposition (Conjunctive…

- - - - Perceived
        
        Every Prop affirmes or denies something of something else
        
        Meaning : Subject - Predicate form
  - - - Contrarily
        
        4 prop in Traditional Classification
        
        are general prop
        
        Exception of Singular Prop
  - - - Failed in analysis
        
        Lacked the distinguishing capabilities between singular proposition from propositions whose subject term is a class.
- - - - Simply Stating - Simple prop ( for the former eg ) and Compound Proposition ( latter eg)
- - - - Not having
        
        Other Prop as a component
  - - - Concept🎶
        
        Assertion made
        
        But Nothing Expressed
      - Exclamatory
        
        Fires!
      - Impersonal
        
        It rains.
    - - States -
        
        Individual 👉
        
        Possess 👉
        
        Quality
        
        👆 Is a singular term
        
        'Subject 'is a singular term
      - Symbolically : S-P
    - - Asserts
        
        Relation
        
        Between
        
        2 or more constituents
      - Term of relation are Subject and Predicate
      - Terminology
        
        'Sense or direction of relation'
        
        WHERE relation proceeds from something to something
        
        Referent - term from which relation proceeds
        
        Relatum - term to which relation proceeds
      - Symbolically
        
        R (x,y) ; x- referent , y- relatum
    - - Concept 🎶
        
        Asserts
        
        Individual
        
        Is a member of
        
        Class
      - Symbolized
        
        a ε F
        
        a - Individual ; F - 'any class'
      - Distinctions
        
        Make a note for this in 10 min. ❤
- - - - Negated
        
        We get
        
        Negative Proposition
    - - Connectives
        
        ~ :Tilde or curl
      - Variables
        
        '' ~p''
  - - - Of any 2 proposition
    - - "and "
    - - Called
        
        As Conjuncts
    - - Connective
        
        "."
      - Variable
        
        "p.q"
    - - True it is only if both conjuncts are true
  - - - "or"
        
        combines 2 prop
    - - Called as
        
        Disjuncts
    - - Inclusive
        
        Both Disjuncts can be True
        
        [weak]
        
        Logic Considers "or " in inclusive sense
      - Exclusive
        
        One Disjunct True other False
        
        [strong]
    - - Connective
        
        v - wedge
      - Variable and connective
        
        p v q
  - - - 2 proposition
        
        words "if....then......."
    - - Between
        
        If...then - antecedent
        
        After "then..." - consequent
    - - Connective
        
        ⊃
      - Form
        
        p ⊃ q
  - - - 2 component prop
        
        materially implying e.o
      - 'if and only if'
      - Propositional
        
        Variable
        
        triple bar
        
        form = 'p triple bar q'