The propositions tag has no usage guidance.
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How does one judge “complexity” of assumptions for the purposes of “best explanation”?
The context for this question is from assessing theological arguments from the point of view of 'inference to the best explanation'.
In philosophy (and science), we may wish to argue that some ...
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3answers
37 views
Understanding multiple values in a single cell of a truth table (P v ~Q) as (1 1 0 1) when P and Q are 1
This might seem basic to most here but I am struggling with a truth table for a disjunct. As I am looking at it further, I actually think the issue I am struggling with how to interpret truth values ...
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33 views
The analytic a priori
Generally, the analytic a priori according to Kant is taken to be empty, tautological, unremarkable. The stock example is 'all bachelors are unmarried' or 'all triangles have three sides,' in other ...
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1answer
56 views
Into what category does following view place me in moral philosophy?
At first, I believe the statements like "Pete is wrong" and "Mike acts in a bad way" have some cognitive value. At first glance, this puts me to ethical cognitivism.
But at the same time I think the ...
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1answer
72 views
The nature of elementary propositions in the Tractatus
So all complex objects in the world are, at the most fundamental level, made up of simple un-analysable objects which are denoted by 'names'.
Combinations of simple objects constitute 'states of ...
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1answer
92 views
Making 'sense' of Wittgenstein's senselessness / nonsense distinction in the Tractatus
For this question I'm just considering Wittgenstein's theory at the time of the Tractatus.
As far as I know, for Wittgenstein:
Meaning - The object denoted by a word (i.e. referent).
Sense - The ...
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2answers
69 views
Confusion about an implication's contrapositive
I just begin learning propositional logic and find a little bit confused when trying to translate the contrapositive of an implication back to the English language.
For example, I have an ...
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0answers
109 views
Russell on Negative Facts
Okay. I am reading Russell's paper "On Propositions: What They are and How They Mean". Since the truth or falsehood of a belief depends upon a fact to which the belief "refers", and propositions are ...
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3answers
94 views
Problem with propositions about future
I have some questions about propositions of future like “tomorrow, there will be rain” or “you won’t go to school tomorrow”
1) Are there certain truth values of future propositions? For example, ...
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5answers
382 views
In propositional logic, why can a FALSE antecedent of conditional be simplified to TRUE?
Please help me formulate my sentences/thoughts here into logical jargon and solve Case 2 below.
Why does the truth table for an implication → look like this:
| p | q | p → q|
| T | T | T |
| T | ...
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183 views
Create a statement in propositional logic. This statment must have 2 attributes. (The attributes are specified in the top header)
The following are the 2 attributes: (1) This statement claims the statement after it is true. (2) This statement cannot be not true.
This statement would achieve these 2 attributes through its ...
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1answer
72 views
What are the rules for a zero-premise derivation involving disjunctions?
I'm having trouble with the following zero-premise deduction that involves two disjunctions:
The solution seems simple, but I'm unsure of how to proceed with the two disjunctions. If it were just ...
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2answers
393 views
Definition of proposition
The term proposition has a broad use in contemporary philosophy. It is used to refer to some or all of the following: the primary bearers of truth-value, the objects of belief and other "propositional ...
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1answer
184 views
How is this premises and conclusion to refute Searle's CR experiment?
So I've been digging into this topic for days now. I've gone through his paper and also some threads here, which I found were very helpful.
I came up with these premises and following conclusions in ...
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3answers
146 views
Is there a logical system that accounts for cause and effect relationship?
The reason I ask is because of the ambiguity of some statements when the conditionals of a condition are not referenced by tense i.e time. For example, in the Cognito Ergo Sum 'I think therefore I am',...
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1answer
69 views
Are analytic propositions always vacuously true?
In a possible world where there are no bachelors is the proposition "bachelors are unmarried" vacuously true? Or is it tautologically true and you would then need to quantify bachelors as "all ...
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1answer
63 views
Can we know a predicate without a subject, non-propositionally? [closed]
Can we have non-propositional knowledge, for example knowledge of a predicate without a subject? I think an example would be: only this is now, which uses indexicals. I'm asking because I wonder ...
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2answers
291 views
Implication Introduction formulated as a theorem?
While making a list of the rules of inference for my math students, I came across this list on Wikipedia:
I noticed a pattern: for every introduction rule, there seems to be an elimination rule, and ...
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312 views
Why is the statement false: If (A⊃B)∨(A⊃C) is true, then A implies either B or C
I'm reviewing my previous exams for the final, and the only two true or false questions that confuse me are:
If (A⊃B)∨(A⊃C) is true, then A implies either B or C.
(P⊃Q)∨(P⊃~Q) means P⊃(Q∨~Q).
The ...
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586 views
Intuitively, why are Universal Statements true in the Empty Universe?
Source: p 165. Sweet Reason: A Field Guide to Modern Logic (2010 2 ed) by Henle, Garfield, Tymoczko.
I read this on Math SE; please advise if it pertains to my simpler question.
One property of ...
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1answer
139 views
Why isn't “I am Bill” a proposition?
In fleshing out the traditional definition of omniscience, William Lane Craig distinguishes between propositional knowledge and non-propositional knowledge, claiming that to be omniscient is to know ...
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Can the material conditional be used in other situations?
Can the material conditional in classical logic (e.g. propositional logic or predicate logic like first-order logic) be used to reason about propositions that are not factual? E.g., using a ...
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210 views
can we know whether the self-referential statement: “It's not possible to deduce whether P1 is true or false” is undecidable?
Update: Simple concise version
Thanks to Nick R for pointing in the right direction.
The statement P0: "this statement is false" is undecidable.
The statement P1: "this statement is undecidable" is ...
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1answer
85 views
Does the existence of the proposition require language to be referential?
If we grant that there is a proposition wherein something meaningful is being asserted, does that require us to think of language as essentially representative in some way?
If language didn't contain ...
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1answer
569 views
What are factual propositions?
I've been reading up on epistemology, after having studied a bit of logic. Given that, I am in a good (or at least better) position to understand a proposition, and it's properties. One such property ...
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309 views
Truth Value of Sentences Containing Logical Contradictions
Do propositions containing logical contradictions have truth values, or are they meaningless? For example:
A) Some married bachelors exist.
B) 95% of married bachelors live in Maryland.
C) ...
3
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1answer
86 views
Wittgenstein and Picturing Relationships
I've been listening to BBC's "In Our Time" on Wittgenstein here, but I can't seem to understand why Wittgenstein thought that "a proposition can't picture the pictorial relationship." One of the ...
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5answers
171 views
How do you prove that this is a tautology?
((p->q) and (r->s) and (p or r)) -> (q or s)
How would you prove that this is tautology? Using natural deduction?
My attempt on this question is.
Since tautology mean W entail by empty premise and ...
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1answer
72 views
Is what makes a proposition true only determined by its referent?
I was wondering if it is trivial that when the content of a belief can be given or "determined" by mind independent reality, the belief is "about" mind independent reality.
I think that the content ...
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2answers
76 views
Would the absence of universals not make it impossible to make and/or express judgments?
Predication is an integral part of making a judgement, which is expressed in propositions (such as 'the sun is round'). Predication itself is possible because in some sense something can be said of ...
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134 views
Wittgenstein criticizes Coffey's work 'The Science of Logic' in its assumption that every proposition requires a subject and a predicate. Why?
Why does Wittgenstein believe there can be propositions that lack a subject or predicate? What examples does Wittgenstein give in support of this belief?
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If we assume that principles are the simplest propositions that can be said about an object, can they coherently be rejected?
An argument for some sort of 'principles' in the Aristotelian sense is as follows:
1.) If we can think something about something, we must be able to think at least the most simple of propositions ...
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1answer
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Difference between a sentence and a proposition in philosophy [closed]
Explain and illustrate the difference between a sentence and a proposition in philosophy
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2answers
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Conjunctive and disjunctive assertions
I am a new learner to logic and philosophy, after spending some time reading Introduction to Logic by Copi, Cohen & McMahon, I'm stuck on this matter... please help me so I can read forward...
...
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What is the truth value of the proposition 'All unicorns are beautiful'?
If we let Fx denotes that which has the property of being a unicorn, and Gx denotes that which has the property of being beautiful, then this proposition would be signified by the following:
∀x(Fx→Gx)...
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Shouldn't statements be considered equivalent based on their meaning rather than truth tables?
Consider the following truth table, which serves to define the logical connective ⇔,
P | Q || P⇔Q
T | T || T
T | F || F
F | T || F
F | F || T
According to the above truth table, the logical ...
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1answer
106 views
Alternate axioms for relevant logic R
Relevant logic system R can be defined -as I read in D. Palladino, C. Palladino, Logiche non classiche- by the following axioms
A→A
(A→B)→((C→A)→(C→B))
(A→(A→B))→(A→B)
(A→(B→C))→(B→(A→C))
A∧B→A, A∧B→...
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1answer
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A∧B-worlds and law of enrichment in Stalnaker semantics
In Stalnaker semantics a conditional A↦B is true in world u if either A is not logically possible (ex absurdo quodlibet holds in the semantics) or A is logically possible and B is true in the nearest ...
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Semantic Fictionalism
Is the belief that there are no propositions.
Why believe it?
Does it suggest we might know Ramsey sentences: I think (I am not at all sure) these may not express anything about propositions.
