Mathematical Reasoning: Propositional Logic & Truth Tables, Cheat Sheet of Mathematics

Master Mathematical Reasoning for AI (JEE & CS Foundation) Essential notes on Propositional Logic – the bedrock of AI and programming. Covers statements, all major logical connectives (AND, OR, IF-THEN, NOT) with truth tables, Laws of Logic, Tautology, Fallacy, and truth table tricks. Unique Hinglish explanations for clearer understanding. Perfect for JEE aspirants and CS students building a logical foundation for AI success!

Typology: Cheat Sheet

2021/2022

Available from 07/24/2025

Pramjeet-kumar
Pramjeet-kumar 🇮🇳

1 document

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Logic
=epoikonal
and
Predicote
Proport
tional
Logic
Staten
ent
Sentence
Falre
t)
avadox
Centene
False
t
i)
Stateent
Sionple
statement
statement
E)(sttat
|Conjanc
tions
T )
Shgle
statenc)
-Tue
or
Folse
F
Comf
pound
statement
(statement
(statement Ret
Connec
toilcanjncti
then
two
tatemen)
-H
direct
et
aT
statement
oreral)
statement
T
Tre/False
tt
tor
checking
conmpaund
Date:
Page:.
may
be
le,
ay
be
Fade
Lott
poliibille
are
thee,
(depndi
con
juneioni
and
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of
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pf4
pf5
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Logic=epoikonal^ and^

Predicote

Proport tional Logic

Staten ent Sentence

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-Intereution/Common

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numbes ot tatement)

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-Double Inplie:/ Dovble Ipliatior

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connetarsleonjun ies.
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TFT

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Convevse
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statement
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guestion

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Date: Page: 2lebra f statemet

adgebra

T F E -2' Same for T O statement T T 3T +then F 23 2 stoetement

  • 2 co lumns 22 3 1atement Vows In F T T T 2

ArHficial Inte |l:

-Statements =Prapoi Hons Jonakak

statement, t tatementso oh.

Sinple statement - Atomic stetemet Date: Page: