I have recently read the excellent graphic novel "Logicomix" and I was wondering how Russell's work is considered in the modern mathematical community. I know that Wittgenstein and, much more formally Gödel, have dealt hard blows to the Principia (and every other formal systems for what matters) but does it continue to have some value as the logical foundation of mathematics? Is it advisable to read it or is it dated and is it better to focus on more optimized alternatives? And in this case what are the alternatives? Modern set theory?
2026-03-25 11:00:45.1774436445
Russell's Principia Mathematica status
176 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated 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 SOFT-QUESTION
- Reciprocal-totient function, in term of the totient function?
- Ordinals and cardinals in ETCS set axiomatic
- Does approximation usually exclude equality?
- Transition from theory of PDEs to applied analysis and industrial problems and models with PDEs
- Online resources for networking and creating new mathematical collaborations
- Random variables in integrals, how to analyze?
- Could anyone give an **example** that a problem that can be solved by creating a new group?
- How do you prevent being lead astray when you're working on a problem that takes months/years?
- Is it impossible to grasp Multivariable Calculus with poor prerequisite from Single variable calculus?
- A definite integral of a rational function: How can this be transformed from trivial to obvious by a change in viewpoint?
Related Questions in FOUNDATIONS
- Difference between provability and truth of Goodstein's theorem
- Can all unprovable statements in a given mathematical theory be determined with the addition of a finite number of new axioms?
- Map = Tuple? Advantages and disadvantages
- Why doesn't the independence of the continuum hypothesis immediately imply that ZFC is unsatisfactory?
- Formally what is an unlabeled graph? I have no problem defining labeled graphs with set theory, but can't do the same here.
- Defining first order logic quantifiers without sets
- How to generalize the mechanism of subtraction, from naturals to negatives?
- Mathematical ideas that took long to define rigorously
- What elementary theorems depend on the Axiom of Infinity?
- Proving in Quine's New Foundations
Related Questions in RESEARCH
- Online resources for networking and creating new mathematical collaborations
- What to do about the third derivative of a twice differentiable function?
- Is there active research on topological groups?
- Model parameters unknown
- Where does the Jordan canonical form show up in more advanced mathematics?
- Visualization vs memorization of mathematical knowledge
- Math Research Opportunities for a Senior in High School
- Equilibrium proof question in research paper.
- Closed form expression for a Gamma-like integral involving a powered Appell hypergeometric function
- Have seen long proofs in articles some with $15$+ lemmas for a single theorem. How does a writer keep track of and manage so many lemmas?
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?