Time is a continuous variable. The present would be a specific, infinitesimally small moment of time that is a few milliseconds prior to what our brain is actually registering as the immediate now (as an above post states). Anytime prior to that infinitesimally small moment of time, exclusive, is broadly referred to as the past, and anytime after that infinitesimally small moment of time, exclusive, is broadly referred to as the future. (As such, we are technically living a few milliseconds in the past, as the aforementioned above post states.)As time is a continuous variable, and making an analogy to a continuous probability density function: stating that something happens at an absolutely precise moment of time is quite iffy--it is better to speak of something happening within a range of times, even an exceedingly narrow range. (Mathematically, in terms of a continuous probability density function: one cannot attribute a non-zero probability to a specific event corresponding to a specific value of that continuous variable as you would be integrating an area of zero: e.g. "what is the probability that the next bus will arrive in precisely 12 mins and 5.897 865 235 892 125 258 685 256 895 258... seconds?" One can only speak of the probability corresponding to a range of the continuous variable: e.g. "what is the probability of the next bus arriving within the next 17 mins?" The narrower the range, the smaller the probability of the event occurring within the range--and that probability goes to zero as the range shrinks to the infinitesimal.)Although it is rather iffy to attribute an event and its probability to an absolutely precise value of a continuous variable like time, that in no way means that the said value does not actually exist! It is simply an infinitesimal small part of the broader overall continuum.
And unlike physical quantities like energy, charge, and mass: time is a metric for measurement, like length. The former quantities are in truth discretized in to fine quanta, but with a step-size so fine that we do not perceive it on our macroscopic scale of perception and instead experience the quantity as a continuum. I don't think that metrics like time and length will similarly break down into a discretized quanta at even finer scale beyond our detection as of yet.