Can political ideologies be logically undecidable? If so, what are the consequences of this?

Why is Decidability important?

If a programming language is decidable, then it will always be possible to decide whether a program is a valid program for that language or not. But even if a program is a valid program for that language, it remains undecidable whether that program may incur a buffer overflow or a deadlock.

What is political ideology and its importance?

In social studies, a political ideology is a certain set of ethical ideals, principles, doctrines, myths or symbols of a social movement, institution, class or large group that explains how society should work and offers some political and cultural blueprint for a certain social order.

What makes something a political ideology?

A political ideology is a set of ideas, beliefs, values, and opinions, exhibiting a recurring pattern, that competes deliberately as well as unintentionally over providing plans of action for public policy making in an attempt to justify, explain, contest, or change the social and political arrangements and processes

Is first order logic undecidable?

First order logic isn’t undecidable exactly, but rather often referred to as semidecidable. A valid first order statement is always provably valid. This is a result of the completeness theorems. For all valid statements, there is a decidable, sound and complete proof calculus.

Which of the problem is undecidable?

The problems for which we can’t construct an algorithm that can answer the problem correctly in the infinite time are termed as Undecidable Problems in the theory of computation (TOC). A problem is undecidable if there is no Turing machine that will always halt an infinite amount of time to answer as ‘yes’ or ‘no’.

What is the definition of undecidable?

Definition of undecidable
: not capable of being decided : not decidable … a huge popular audience, most of whom must have been baffled and exasperated by its elaborate and undecidable mystifications.—

How does ideology affect society?

Ideology is a set of collectively held ideas about society, usually promoted in order to justify a certain type of political action. Ideologies have an explanatory function: they provide explanations for the facts and problems of the social life, so enabling individuals and groups to orientate themselves in society.

What is importance of ideology?

Why are ideologies important? An ideology is set of beliefs that reflect a person’s outlook on the world. Ideologies are important because they shape how we perceive and interact with the world. In politics, they affect the voting choices we make and the policies we support.

What can be understood due to ideology system?

(1) An Ideology is a system of ideas that an individual or a social group holds over time to which they are committed; (2) Ideology is an organizing world view that obscures aspects of experience and when it operates as a closed belief system is impervious to evidence contradicting its position; (3) All ideology

What is undecidable problems explain with example?

In computability theory, an undecidable problem is a type of computational problem that requires a yes/no answer, but where there cannot possibly be any computer program that always gives the correct answer; that is, any possible program would sometimes give the wrong answer or run forever without giving any answer.

How do you show an undecidable problem?

For a correct proof, need a convincing argument that the TM always eventually accepts or rejects any input. How can you prove a language is undecidable? To prove a language is undecidable, need to show there is no Turing Machine that can decide the language. This is hard: requires reasoning about all possible TMs.

Which of the following problems is undecidable easy?

Which of the following problems is undecidable? Ambiguity problem for context free grammar is undecidable. So, option (D) is correct.

Are undecidable problems unsolvable?

An undecidable problem is one for which no algorithm can ever be written that will always give a correct true/false decision for every input value. Undecidable problems are a subcategory of unsolvable problems that include only problems that should have a yes/no answer (such as: does my code have a bug?).

Which among the following are undecidable theories?

Which among the following are undecidable theories? Explanation: Tarski and Mostowski in 1949, established that the first order theory of natural numbers with addition, multiplication, and equality is an undecidable theory.

What are decidable and undecidable problems?

A decision problem P is undecidable if the language L of all yes instances to P is not decidable. An undecidable language may be partially decidable but not decidable. Suppose, if a language is not even partially decidable, then there is no Turing machine that exists for the respective language.

When a problem is said to be decidable give an example of undecidable problem analyze it?

Give an example of undecidable problem? algorithm that takes as input an instance of the problem and determines whether the answer to that instance is “yes” or “no”. (eg) of undecidable problems are (1)Halting problem of the TM.

What is the halting problem and what does it mean to say that it is undecidable?

Halting problem is perhaps the most well-known problem that has been proven to be undecidable; that is, there is no program that can solve the halting problem for general enough computer programs. It’s important to specify what kind of computer programs we’re talking about.

What is the difference between an undecidable problem and an intractable problem?

Undecidable problems are those for which no computer solution can ever exist, while intractable problems are those for which there is strong evidence that, although they can be solved by a computer, they cannot be solved sufficiently fast that the solution is truly useful in practice.

What are the consequences of the problem being undecidable?

What are the implications of the problem being undecidable? The problem may be solvable in some cases, but there is no algorithm that will solve the problem in all cases. A programmer develops the procedure maxPairSum() to compute the sum of subsequent pairs in a list of numbers and return the maximum sum.

What does it mean for a problem to be described as intractable?

1 : not easily governed, managed, or directed intractable problems. 2 : not easily relieved or cured intractable pain.