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The phrase "and how we know" is correct and usable in written English.
It can be used when discussing the basis or evidence for a claim or belief, often in academic or analytical contexts.
Example: "In this paper, we will explore the theory of evolution and how we know it is supported by extensive scientific research."
Alternatives: "and the evidence for it" or "and the basis for our understanding".
Exact(37)
Whether, and how, we know anyone.
Oh, and how we know each other.
It's a very good summary of what we know and how we know it.
This course examines questions in international political economy, asking what we know and how we know it.
Neuroscientist Charles Zuker explores why we love the sweet, despise the bitter, and how we know when we're thirsty.
Epistemology is the study of knowledge - what we know and how we know what we know, if that makes sense.
Similar(23)
And we told them how we knew that this — how we had this information, how we had acquired it, and how we knew that it was untrue".
But as you begin to give more detail on what we knew and when we knew it and how we knew it, it has credibility".
And you know how we know?
Visualizing data is fundamental to re-presenting what we know and how we know it while rendering the future more tangible and participatory.
This has epistemological implications, regarding what we can know, and how we can know it.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com