People can get through problems without much science, by logical deduction. I think a great example of this would be the Black Lives Matter, All Lives Matter, Blue Lives Matter, phenomenon we've seen in the past 4 years. Excluding all conspiracy theories of a Soros mastermind, planting BLM activists to sow seeds of dissention, and stir chaos in society...
People that support All Lives Matter, may do so by logical deduction, or just loyalty to the cause. Same with Black Lives Matter. However, if you get into the scientific minutiae, with data, of race's correlation to crime rates, race's correlation to police brutality, or, on the flip side, the All Lives Matter people can support their claims with scientific data showing, that cops are justified and they don't use excessive force. Sometimes they can be misled by data, both sides can be.. and a purely logical assessment needn't delve deep into scientific data.
Another example, I've seen people make reasonable logical deductions here, and then just get crushed by someone who has scientific peer-reviewed studies to back them up.
It's an interesting question, the more I think of it, does science require logic, but logic not require science?