If by 'science', you mean the current paradigm within which scientific discovery is conducted by continually seeking answers to questions based on evidence that many of its practitioners (i.e. scientists) have validated, quantified, and repeated, then the answer to your question depends on what such "science" excludes from inquiry. Why? Because the practitioners of such 'science' do not recognize or understand the basis for 'evidence' that is outside their established paradigm. So they collectively (and reflexively) declare, "That event or phenomenon or concept (you fill in the blank) is not possible." Obviously such a stance is ripe for refutation by verifiable, repeatable, quantifiable evidence, even by rigorous adherence to the tenants of their OWN paradigm. I agree that many are taught to utilize said methods to conduct scientific research. However, I think there is a far easier method to arrive at the Truth one seeks than those you have described.
Every science and philosophy is basically an exercise in PERCEIVING REALITY IN ITS TRUE DIMENSIONS.....AND APPLYING THE UNDERSTANDING THEREFROM ACCORDINGLY.
Experiencing what IS true about Reality is knowledge.
Whether scientists, theologians, philosophers, or laypersons, we look at the world with our eyes, but we actually “see” the world, and ourselves, through our "eye"-deas (ideas) .
The most efficient and fruitful use our our capacities to arrive at Truth is to proceed from the knowledge that....
"Perfection does not come from projecting our own ideas but from awakening to the knowledge that it is already the established order of things.", as indicated in the reference.
....don't believe me? Try MAKING 2+2=5. Doesn't work, does it? We cannot even MAKE 2+2=4.
2+2=4, whether you sum the equation correctly or NOT !
Discovering that whether summed by believer, infidel, heretic, or boor, the demonstration that 2+2=4, perfectly, unchangeably demonstrates TRUTH and PERFECTION for itself, doesn't it?
WHY ??
Because neither Truth NOR Perfection can change OR be changed. ALL the principles of Life operate that way, perfectly, without variation, deviation, or attenuation for anyone, at anytime, anywhere !! We can ONLY accept its perfect operation, because we cannot change Truth.
If Perfection is ALREADY the established order of things, AND is PLAINLY EVIDENT IN ALL THE PRINCIPLES OF LIFE, WHY HAVEN'T WE KNOWN THIS ??
BECAUSE WE ALL are free to choose to believe that 2+2=5 for ETERNITY until we have acquired FOR OURSELVES the necessary knowledge of the immutable principle that correctly sums the answer.
Please understand that I am only using this mathematical example as a metaphor for THAT which is not only real, but is also true, and which ALSO cannot change.
The same Source Who created perfect principles of mathematics which operate undeviatingly to create ONLY 4 as the answer to 2+2, ALSO CREATED US out of perfect principles.
The basic layout of science and philosophy is driven by the impetus within Mankind which has driven us to create philosophies (or religions or sciences) at all.....the insatiable desire to KNOW (not merely to postulate, theorize, "believe", or have faith in..)
....the Truth of Ourselves.
Philosophy, or science, or religion is essentially....
....an ITCH that MUST be scratched.....and which can only be satisfied when YOU scratch it....YOUR WAY !!
What is the TRUTH OF OURSELVES ??
You ALREADY KNOW what the answer is.....beforehand.
You may legitimately ask, How can THAT be ?? "Why would I ask anything OR seek anything if I already know the answer to it beforehand?"
Because .....ANY knowledge we seek PRECEDES our need…..exactly like the availability of air (answers) precedes our need to breathe it (questions)….
…..or we would not even be ABLE to recognize the answer (breathe), at all.
We've been erroneously taught that when an answer to our question is not immediately apparent to us, we must seek it somewhere else or from someone else.
However, what we are NOT usually taught (and which we must learn to practice) is that when we receive our answer, HOWEVER it comes.....our recognition of it AS the answer is because it existed ALL THE TIME even BEFORE it was bought to our awareness.
THAT'S WHY IT DOESN'T MATTER what we believe.
When you understand that all the principles of Life are ALWAYS consistent with Truth, without variation, deviation, or attenuation for anybody, at any time, or any place, then you'll begin to see that the real test in Life, is to live KNOWING the difference....between TRUTH and belief, and that the consequences of your actions WILL occur just as certainly as 2+2=4, truthfully, invariably, perfectly......and unavoidably.
2+2=4,....even BEFORE you compute it !! In the same way, ALL Principles of Life are True, Perfect, and Immutable....BEFORE you are even ABLE to know them or utilize them.....
Do you see ? If the answer were not ALREADY TRUE, and truly within YOU, you would not be ABLE to recognize (RE-cognize) it AS TRUE.
We must RE-awaken to the knowledge that OUR OWN PERFECTION within this infinite Spiritual system is ALREADY the established order of things....and act accordingly.
The truth about the "reach" of our very understanding of REALITY is that each and every advancement has come about AFTER WE DISCOVERED WHAT HAS ALWAYS BEEN TRUE, AND WAITING FOR US TO DISCOVER IT....
...even when the tightly held ideas WE THOUGHT WERE TRUE were REALLY based on false information and dogma, WHICH virtually everyone believed, transmitted, and acted upon AS IF TRUE .....that is, until others, following their OWN ideas came along, who had quantifiable, repeatable, verifiable evidence based on a DIFFERENT set of ideas that turned the paradigm of established scientific or religious consensus on its head !!
Can there be any truer indictment of the history of mankind’s exploration and discovery of both scientific and religious Truth than to acknowledge that it is replete with examples of this or that scientist or religious prelate pontificating that this or that phenomena is impossible ???
Do the Heavens still rotate around the Earth? Not after Copernicus, Kepler, and Galileo. Are time and space separate from one another? Not after Einstein. Did you get your vaccines this year? Thanks to Pasteur you did. Is the Earth still flat? Ask Erikson, Columbus or Magellan for the answer. Do you have to study your science homework or read the scriptures of whatever faith you profess in the dark? Not after a little help from Gutenburg and Edison. You can readily see the impact of individuals with their OWN ideas helping other individuals change THEIR ideas about these things, which eventually results in the civilization changing, right?
The "belief" in limitation must then be seen to be SELF-IMPOSED......and if self-imposed....
....IT MUST BE SELF-REMOVED !!
Is it not then obvious that neither you nor anyone else needs to accept someone else's beliefs to KNOW what is true.....because ANYONE can prove Truth to themselves....literally....and undeniably ??
....whether you believe it or not ??
Again, when the quality of the inquiry is based on quantifying, repeating, and validating TRUE PRINCIPLES then the answers to our questions can EASILY be understood by theologians, scientists, historians, philosophers, and logicians, and laypersons alike. If we are REALLY serious about knowing, not just believing, the Truth of ourselves, we would gain the KNOW-ledge for OURSELVES, so that the scientific or spiritual Truth we seek proves or disproves Itself irrefutably within OUR OWN EXPERIENCE.
THAT'S what true science is....