Can non computable numbers be expressed with surreal numbers?
Show the construction using Conway's definition of surreal.
2026-03-25 12:46:43.1774442803
Non-computable numbers and surreals
387 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail At
1
There are 1 best solutions below
Related Questions in COMPUTABILITY
- Are all infinite sets of indices of computable functions extensional?
- Simple applications of forcing in recursion theory?
- Proof of "Extension" for Rice's Theorem
- How to interpret Matiyasevich–Robinson–Davis–Putnam in term of algebraic geometry or geometry?
- Does there exist a weakly increasing cofinal function $\kappa \to \kappa$ strictly below the diagonal?
- Why isn't the idea of "an oracle for the halting problem" considered self-contradictory?
- is there any set membership of which is not decidable in polynomial time but semidecidable in P?
- The elementary theory of finite commutative rings
- Is there any universal algorithm converting grammar to Turing Machine?
- Is the sign of a real number decidable?
Related Questions in NUMBER-SYSTEMS
- Why do we can't replace binary numbers with decimal like we do in hexadecimal and octal?
- How many numerals (unique glyphs) do we use to note a number in a non-integer base numeral system?
- How to convert from base 4 to base 16?
- Find possible bases of an operation
- What is the logic behind the octal to decimal conversion using the expansion method?
- Why the hexadecimal numbers can be converted directly into binary numbers so cleanly?
- Base 17 on a Suanpan (Chinese abacus)
- How to Prove Square Number?
- Multiplication of two number in 2's complement
- We know that $2^0$=1 but why $(-2)^0$=not 1
Related Questions in SURREAL-NUMBERS
- Roots of polynomials of $R[x]$ in the surreals
- What is the CGT value of Misère Hex?
- Do surreals prove reals are countable?
- Examples of Surreal Numbers that are only Surreal Numbers?
- Descending Game Condition and Transfinite induction
- Proof that $x+(-x)=0$ for surreal numbers
- How do surreal numbers relate to real numbers?
- Improper integrals over the reals and surreal numbers
- Is multiplication of games that are equivalent to numbers well-defined?
- Proof that "$\uparrow$ is the unique solution of $\pmb{+}_G=G$"
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?
Yes, it can be expressed as $\{A \vert B\}$ where $A = \{x: x \lt \Omega\}$ and $B = \{x: x \gt \Omega\}$ and $\Omega$ is Chaitin's constant.