Deductive reasoning
‘Be careful of that wasp; it might sting’
This is based on the logic that wasps as a whole have stingers; therefore, each individual wasp will have, therefore we do not have to examine each and every wasp to reach a conclusion about what characteristics it may have, as through deductive reasoning we can make an assumption that is efficient.
In short, you argue from the GENERAL (all wasps have stings) to the PARTICULAR (this wasp will have a sting) – make sure your general statement is certain though! – is it here?
A deductive argument is valid if the truth of the conclusion actually does follow logically.
Illustrate-
1) all men are mortal
2) Soc rates is a man
3) Therefore Socrates is mortal
Induction
Applying previous experiences to a general rule.
Observation è Pattern è Hypothesis èRule.
When a group of people bear a similar trait, it would be inductive to suggest that the next person you meet from that group will have that trait.
For example; all swans I have seen are white, therefore the next swan I see will probably be white.
Explain: Starting with a set of premise (eg this crow is black) you form a conclusion (eg all crows are black).
An induction is falsifiable – you can check if it’s right or wrong (eg you can look at different crows to see if they’re all black or not).
Illustration: This bachelor is happy therefore all bachelors are happy
In short you work from the PARTICULAR (this bachelor) to the GENERAL (all bachelors)
Necessary Truth is a truth that HAS to be true. It cannot be false. It is true in itself
Logical and mathematical truths are generally regarded as typical examples of necessary truths. For rationalism, necessary truth is truth of reason and is based on the insight into real connections between facts. For empiricism, knowledge of the world must be based on perception.
In Leibniz's phrase, a necessary truth is true in all possible worlds. If these are all the worlds that accord with the principles of logic, however different they may be otherwise, then the truth is a logically necessary truth. If they cover all the worlds whose metaphysics is possible, then the proposition is metaphysically necessary.
Example: "Squares have four sides."
Descartes would say that God existing is a necessary truth because of the Ontological Argument - (God is perfect, therefore he must exist because he is perfect and because he is perfect he must exist!!!)
Contingent Truth
EXPLAINATION:
A contingent truth is one that could be true, but it could also be false – it completely depends - however it cannot be both true AND false.
A contingent truth is an idea that suggests that some objects exist and are true but do not always have to be i.e. in a different world a pen could not exist, but in our world it does.
EXAMPLE:
I could exist but only because my parents existed but I do not HAVE to exist, as suggested by necessary truths.
We all enjoy a good contingent truth at times. Basically, to put it simply, it means that it is a statement thatcould have been false even though it happens to be true.
Since that’s a bit crazy, let’s make it simple.
‘Cats have claws.’
Maybe they do – maybe they don’t
It’s all to do with essential and accidental qualities. Being a mammal, for example, is part of a cat’s essence. However, the claws are not necessarily so.
If you’re still confused, then think of it this way; a contingent truth is one that could logically be true or false. For example, Hume treats God as a contingent truth.
‘It is logical to reason that God does exist, but at the same time, it is logical to reason that he doesn’t.’
Maybe he does – maybe he doesn’t – it’d depend upon something – some sort of evidence
A contingent truth is something that could logically be true or false. Contingent truths, otherwise known as falsehoods, happen to be true (or false), but might have been otherwise. For example:
"Squares have four sides." is necessary.
BUT
"Stop signs are hexagonal." is contingent.
So, for it to be contingent, it can be true and also happen to be false at the same time. Also, If a statement happens to be true in our world, but is false in some other worlds, then it is a contingent truth.
A posteriori knowledge
- knowledge that is derived from experience. This knowledge is based on sensations and empirical evidence. For example, ‘it is raining outside’ isa posterior knowledge, because it is based on sensory experiences, and couldn’t be known without first having had this experience. This kind of knowledge is based more on empiricist views, who believe that all knowledge is derived from sensation.
A Priori knowledge
is knowledge before experience. You just know it. Examples are those such as God, Maths and Ethics. Plato claims that we have a priori knowledge of maths, and example to support this is Socrates and the slave in the market place. The slave, who would have had no prior teaching showed an understanding of the shapes. Therefore, it is claimed he must have had a priori knowledge of geometry.
Before and completely independent of experience, rationalist held concept of knowledge, veins in marble, schema for using, and understanding any knowledge found a posterior, through or after experience, are known a priori, before any experience of them, a priori knowledge include:- ratios, ethics, God, and the good, these are concepts, or knowledge, that is known a priori, and before any form of experience.
Also, other types of a priori knowledge are that of
Reason: you work out the answer via general knowledge through maths or scientific concepts, for example the size and constancy of the sun, even though via experience, it appears both small, and to ‘wax and wane’ we know, through reason, that the sun is huge and of a constant size.
Intuition: This is the so called natural feelings, for example, the way something feels, if something is stated, your na5tural feeling about it, whether the statement feels good, or bad, is known as intuition, this again is known before experience, and thus, is a prori.
Innate: knowledge that we are born with, rationalists state that, although they agree we are born a blank slate, we are not born without any forms of understanding knowledge, these, were known as ‘veins in marble’ this was put forward by Leibniz, stating that we are a tabula rasa with underlying veins in that marble.
These concepts aren’t held by empiricists so much, as they believe we have nothing in our head when we are born, and simply soak up the world.
A synthetic proposition
is a proposition that is capable of being true or untrue based on facts about the world - in contrast to an analytic proposition which is true by definition.
For example, "Mary had a little lamb" is a synthetic proposition - since its truth depends on whether or not she in fact had a little lamb.
The truth or falsity of synthetic propositions is possible but not certain - their truth depends on what the universe is like. (Is there a ‘Mary’s Lamb’ in it or not?)
Analytic proposition
Analytic propositions are those which are true simply by virtue of their meaning. They are true by definition, they cannot be falsified, they are undeniably true.
.Examples:
Analytic Proposition: All bachelors are male, all triangles have three sides – examples Kant used.
An Analytic Truth is one which contains its predicate concept in its subject, for example Triangle = 3 sides – no need to state once you know that particular information.
And as such with the other example – The concept bachelor contains the concept “unmarried”; and it is also part of the definition, likewise the same for the triangle.
They are tautologies: a statement which is useless repetition, from which we learn nothing.