QuestionsIs the world real?A computer does not make a world exist, it describes it
Is the world real?Virtual is real too

A computer does not make a world exist, it describes it

The mathematical universe hypothesis and simulation (Tegmark)

Max Tegmark born 1967Cosmologist: our world is a mathematical structure, and a computer simulating it only describes it, it does not make it exist.
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What it claims

A simulated universe exists as truly as ours: "simulated" does not mean "less real", only "specified by a computer".

Why

Running the computer does not change whether the described world exists: simulated or not, it exists the same way.

The same idea through history
In short

"A computer does not make a world exist, it describes it" is an argument by Max Tegmark (Tegmark, "The Mathematical Universe", 2008, 2008) on the question "Is the world real?" (answer: virtual is real too). Its claim: A simulated universe exists as truly as ours: "simulated" does not mean "less real", only "specified by a computer". According to AskPhilosophy's logic check (Z3 solver), the argument is valid only if one grants a premise the author leaves unstated (P4). AskPhilosophy presents 2 objections, 0 of them with a documented reply, and the original text behind each premise, checked word for word.

Tegmark, "The Mathematical Universe", 2008
Valid with an implicit premise

The cosmologist Max Tegmark defends a bold idea: our physical world is not described by mathematics, it is a mathematical structure, that is, abstract objects and the relations among them. From this he draws a consequence about simulations. If one simulated a universe on a computer, that universe would also be a mathematical structure, and it would exist already, before anyone computes it. The computer's role would not be to compute the universe's history but to specify it. Whether the computer runs or not makes no difference to whether that universe exists. A caveat: everything rests on the mathematical universe hypothesis, which Tegmark presents as following from the existence of a reality outside us, and which is widely disputed.

P1Our physical world is a mathematical structure: abstract entities and the relations among them (the mathematical universe hypothesis).
P2Every simulation of a universe also corresponds to a mathematical structure, which therefore already exists as such.
P3The role of the simulating computer is not to compute the universe's history but to specify it: running it or not makes no difference to the structure's existence.
P4 · implicit premiseWhat exists as a structure, whether or not it is run, exists as truly as our world, if our world is also a structure.
So a simulated universe exists as truly as ours: "simulated" does not mean "less real", only "specified by a computer".

click a premise to reject it

If you accept every premise, logic forces you to accept the conclusion. So the debate is about the premises.
Checked by a logic solver: the premises cannot all be true while the conclusion is false.
Without the implicit premise: Without P4 one can imagine that mathematical structures exist "in general" without that being enough to make a world one lives in: an equation exists, but nobody lives in it. The argument alone would not say the described world is real.
P1: our world is a structure. P2: a simulated universe is one too. P3: the computer only specifies it, so running it makes no difference to its existence. P4, hidden, says what exists as a structure exists as truly as we do. So the simulated world is as real as ours. What is debated: P1 (the mathematical hypothesis), and P4 (is existing as a structure enough to be real?).
Analogy. A complete architect's plan does not need to be built to describe a house: if the plan describes everything, the house "exists" in the plan, whether or not someone draws it. Tegmark says computation only serves to write the universe's plan. (Our image.)

Objections

2

Each objection is a conversation: click to see who replies and where the debate stands.

S
Sabine Hossenfelder 2007 · attacks premise 1

Hossenfelder, a physicist, says mathematics describes reality but is not reality. One can think of and describe an electron's wavefunction even if the electron does not exist, and that does not make the electron real. She sees a difference that Tegmark's hypothesis erases.

no reply
We have not yet found a direct reply by Tegmark in the texts.
The debate goes on (our summary) Hossenfelder writes in October 2007, about the April 2007 version of Tegmark's paper. We found no reply from Tegmark to that post (our summary).
Where the debate stands (our summary)Underlying disagreement: does mathematics describe the world, or is it the world? Open point: no position is widely accepted (our summary).
G
Gordon McCabe 2005 · attacks premise 2

McCabe argues that a digital simulation has no objective link to the system it simulates: it exists only as a physical process in the computer's parts. So nobody can live "inside" a digital simulation, and there is no simulated world that could be called real.

no reply
We have not yet found a direct reply by Tegmark in the texts.
Where the debate stands (our summary)Open point: for McCabe a simulation is only a process in a machine; for Tegmark it corresponds to a mathematical structure that already exists. Tegmark cites McCabe as an opposing view, without answering him in the paper (our summary).