What is truth? And can you show me how all spoken words are connected to it as "True" or "not true" ?
The idea of truth is implicit in your questions.
You ask a question in hope that I may answer.
Genuine words being true or not true, in this context
rely on the structure of the sentences.
And that structure is most frequently described by "literal set theory".
So it would be better to say :
"Many proper sentences are connected or not connected to truth".
But sometimes sentences are metaphoric, which is more complex,
but we need to properly understand "literal set theory" first.
An example would be "wars occur because people ignore history".
So the set of people that ignore history will include the set
of people that are prone to suffering from wars.
Many of us knew that once homosexual marriage became typical,
it was just a matter of time before world war three started,
because this narrative is as old as language itself.
In this way sentences are like maps.
A map is either a good map or a bad map.
If its a true sentence it can predict events in the world,
much like a good map predicts the terrain properly.
So words are really a form of divination.
This is how proper scientific formula work as well,
they must be predictive to be 'true'.
I can say: "winter and summer are 6 months apart"
and a farmer will be able to know when its best to reap or sow his fields,
and the farmer who does not know this will have less food,
and thus his family and nation will undergo starvation.
This also leads to war.
Metaphors on the other hand try and pack much more complex ideas
into a very small amount of words.
"Some ground is more fertile than other ground" can mean
many things, from literal farming methods, to the fruits of
conversations, to the fertility of humans as well.
So a parable like "the good Samaritan" is a rich metaphor
that goes well beyond the Samarians themselves who were
a disgraced people of that time, whereas the Rabbi was said
to be a truly good person. The teaching being that it is a common
error to judge people (or maps) by their reputation,
rather than by their actual deeds.