What is the correct definition for Mindfulness?

There are two questions:

1. What is the English definition of 'mindfulness'?
2. or What is the correct definition of 'sati', the pali word often translated as 'mindfulness'?

The English definition of 'mindfulness' has been hijacked. What was once based on the Buddha's definition of 'sati' (and 'sampajano'), has been hijacked and transformed by two major forces in the modern world.

a) Buddhist teachers, even famous and intelligent ones, perhaps influenced by each other and modern psychotherapy's version of 'mindfulness', generally understand 'mindfulness' as a kind of choiceless bare awareness. Not properly differentiating between 'sati' and 'sampajano', and not understanding the core suttas, they've ended up with not only a watered down 'sati', but a dangerously wrong interpretation that misses some of the most important aspects of 'sati'.

a) Modern psychotherapy reshapes the watered down Buddhist misinterpretation from (a) into a secular method of meditation for stress relief. Certainly still a very useful tool, hence its popularity, but throws out some of the most important benefits of the real 'sati'.

The correct definition of 'sati', the pali word often translated as 'mindfulness' can only be determined from a careful comprehensive study of the early suttas.

My detailed analysis can be found here: 👑8☸ → 7🐘 Sammā Sati

There's a summary of the main points at the end of this post -- sati is "remembering"or "memory".

"Faith is my seed, austerity the rain, wisdom my yoke and plow, modesty is the pole, mind the strap, mindfulness is my plowshare and goad. - Snp 1.4

Samma Sati (right mindfulness) is the practice of Satipathana.

Wikipedia is wrong. We should follow the definitions found in historical Buddhism rather than the definitions of contemporary amoral Americans.

Unless you have decided to practise the "signless meditation", mindfulness does not explicitly mean the psychological process of purposely bringing one's attention to experiences occurring in the present moment without judgment.

Mindfulness generally requires an act of judgment, per the "gatekeeper" metaphor.

Even if you decide to practise the "signless meditation", mindfulness judges whether or not the mind is signless in order to maintain the mind in signlessless.

In summary, the word "sati" ("mindfulness") means "to remember" or "keep in mind".

To paraphrase Wikipedia, Buddhist mindfulness means: "the psychological process of purposely bringing one's attention to experiences occurring in the present moment without wrong view, ignorance, craving, attachment & egoism".

Conventionally, we understand that being mindful while driving is prudent and safe. This conventional perspective of mindfulness is effective in that it allows us to approach the suttas and immersion itself:

MN118:24.5: kāye kāyānupassī, bhikkhave, tasmiṃ samaye bhikkhu viharati ātāpī sampajāno satimā vineyya loke abhijjhādomanassaṃ.

MN118:24.5: at that time they’re meditating by observing an aspect of the body—keen, aware, and mindful, rid of desire and aversion for the world.

As we meditate further, we start noticing subtleties. For example, there is sampajāno and satimā (i.e., "aware and mindful"). The implication is simple. There can be awareness. There can be mindfulness.

Investigating further, looking very closely, we find:

AN4.35:2.5: Satimā kho pana hoti cirakatampi cirabhāsitampi saritā anussaritā

AN4.35:2.5: They are mindful, able to remember and recollect what was said and done long ago.

And from this rare quote, we can understand that mindfulness remembers.

Notably, mindfulness is almost always spoken of in conjunction with awareness. Clearly, one must be mindful AND aware. Total recall without awareness is incomplete.

Sati

That which is mindfulness, recollection, recall, mindfulness, remembrance, bearing (in mind), not losing, not confusing, mindfulness, the Faculty of Mindfulness, the Strength of Mindfulness, Right Mindfulness: this is called ‘mindfulness.’

Therein what is mindfulness-awakening-factor? Herein a monk is mindful, furnished with excellent mindfulness-penetration, he remembers, remembers constantly, what has long been done and long been said (concerning release). This is called mindfulness-awakening-factor.

Unshakability by negligence as the meaning of the power [strength] of mindfulness

The mindfulness which on that occasion is recollecting, calling back to mind; the mindfulness which is remembering, bearing in mind, the opposite of superficiality and of obliviousness; mindfulness as faculty, mindfulness as power, right mindfulness—this is the faculty of mindfulness that there then is.

These are theravadin abhidhamma and patisambhidamagga excerpts

The Blessed One said, “Suppose, monks, that a large crowd of people comes thronging together, saying, ‘The beauty queen! The beauty queen!’ And suppose that the beauty queen is highly accomplished at singing & dancing, so that an even greater crowd comes thronging, saying, ‘The beauty queen is singing! The beauty queen is dancing!’ Then a man comes along, desiring life & shrinking from death, desiring pleasure & abhorring pain. They say to him, ‘Now look here, mister. You must take this bowl filled to the brim with oil and carry it on your head in between the great crowd & the beauty queen. A man with a raised sword will follow right behind you, and wherever you spill even a drop of oil, right there will he cut off your head.’ Now what do you think, monks: Will that man, not paying attention to the bowl of oil, let himself get distracted outside?” “No, lord.” “I have given you this parable to convey a meaning. The meaning is this: The bowl filled to the brim with oil stands for mindfulness immersed in the body. Thus you should train yourselves: ‘We will develop mindfulness immersed in the body. We will pursue it, hand it the reins and take it as a basis, give it a grounding, steady it, consolidate it, and undertake it well.’ That is how you should train yourselves.” https://www.accesstoinsight.org/tipitaka/sn/sn47/sn47.020.than.html