I know that this seems like a silly question, but I was deducing something and after finished I tried translating it into words. I don't know why but the doubt just sruck me as i was trying to make sense of what i was writing. Could any one please answer it and justfy it? thank you
2026-03-25 01:18:15.1774401495
To say that "not p" holds, is the same as to say that p doesn't hold?
76 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail At
1
There are 1 best solutions below
Related Questions in LOGIC
- Theorems in MK would imply theorems in ZFC
- What is (mathematically) minimal computer architecture to run any software
- What formula proved in MK or Godel Incompleteness theorem
- Determine the truth value and validity of the propositions given
- Is this a commonly known paradox?
- Help with Propositional Logic Proof
- Symbol for assignment of a truth-value?
- Find the truth value of... empty set?
- Do I need the axiom of choice to prove this statement?
- Prove that any truth function $f$ can be represented by a formula $φ$ in cnf by negating a formula in dnf
Related Questions in PROPOSITIONAL-CALCULUS
- Help with Propositional Logic Proof
- Can we use the principle of Explosion to justify the definition of implication being True when the antecedent is False?
- Simplify $(P \wedge Q \wedge R)\vee(\neg P\wedge Q\wedge\neg R)\vee(\neg P\wedge\neg Q\wedge R)\vee(\neg P \wedge\neg Q\wedge\neg R)$
- Alternative theories regarding the differences between the material conditional and the indicative conditionals used in natural language?
- Translations into logical notation
- Is the negation of $(a\wedge\neg b) \to c = a \wedge\neg b \wedge\neg c$?
- I am kind of lost in what do I do from here in Propositional Logic Identities. Please help
- Boolean Functional completeness of 5 operator set in propositional logic
- Variables, Quantifiers, and Logic
- Comparison Propositional Logic
Related Questions in PREDICATE-LOGIC
- Find the truth value of... empty set?
- What does Kx mean in this equation? [in Carnap or Russell and Whitehead's logical notation]
- Exchanging RAA with double negation: is this valid?
- Logical Connectives and Quantifiers
- Is this proof correct? (Proof Theory)
- Is there only a finite number of non-equivalent formulas in the predicate logic?
- Are Proofs of Dependent Pair Types Equivalent to Finding an Inverse Function?
- How to build a list of all the wfs (well-formed sentences)?
- Translations into logical notation
- What would be the function to make a formula false?
Trending Questions
- Induction on the number of equations
- How to convince a math teacher of this simple and obvious fact?
- Find $E[XY|Y+Z=1 ]$
- Refuting the Anti-Cantor Cranks
- What are imaginary numbers?
- Determine the adjoint of $\tilde Q(x)$ for $\tilde Q(x)u:=(Qu)(x)$ where $Q:U→L^2(Ω,ℝ^d$ is a Hilbert-Schmidt operator and $U$ is a Hilbert space
- Why does this innovative method of subtraction from a third grader always work?
- How do we know that the number $1$ is not equal to the number $-1$?
- What are the Implications of having VΩ as a model for a theory?
- Defining a Galois Field based on primitive element versus polynomial?
- Can't find the relationship between two columns of numbers. Please Help
- Is computer science a branch of mathematics?
- Is there a bijection of $\mathbb{R}^n$ with itself such that the forward map is connected but the inverse is not?
- Identification of a quadrilateral as a trapezoid, rectangle, or square
- Generator of inertia group in function field extension
Popular # Hahtags
second-order-logic
numerical-methods
puzzle
logic
probability
number-theory
winding-number
real-analysis
integration
calculus
complex-analysis
sequences-and-series
proof-writing
set-theory
functions
homotopy-theory
elementary-number-theory
ordinary-differential-equations
circles
derivatives
game-theory
definite-integrals
elementary-set-theory
limits
multivariable-calculus
geometry
algebraic-number-theory
proof-verification
partial-derivative
algebra-precalculus
Popular Questions
- What is the integral of 1/x?
- How many squares actually ARE in this picture? Is this a trick question with no right answer?
- Is a matrix multiplied with its transpose something special?
- What is the difference between independent and mutually exclusive events?
- Visually stunning math concepts which are easy to explain
- taylor series of $\ln(1+x)$?
- How to tell if a set of vectors spans a space?
- Calculus question taking derivative to find horizontal tangent line
- How to determine if a function is one-to-one?
- Determine if vectors are linearly independent
- What does it mean to have a determinant equal to zero?
- Is this Batman equation for real?
- How to find perpendicular vector to another vector?
- How to find mean and median from histogram
- How many sides does a circle have?
It depends on your interpretation of "holds".
If, as is usually so, you mean "is true" as in classical logic, then "not P is true" and "P is not true" have the same meaning.
If you mean "is proven" or "is provable" as in constructive logic, then "not-P is proven" is not the same as "P is not proven".