No, they are not.
Empathy (from German Einfühlung, literally 'one contact' / 'one feeling', and Greek empatheia, 'passion, emotional state') means having fellow-feeling with respect to someone else's innermost and personal emotional response(s) to a matter.
Sincerity (from Latin sincerus, 'complete, whole, sound, clean, pure', and which basically means 'that which is not false') means having or demonstrating the quality of being genuine, honest, frank, free from pretense or deceit.
We can be very sincere (genuine and honest) when talking to others, but this does not necessarily mean that we personally know, understand or 'can relate' to their personal feelings.
On the other hand, someone who has empathy feels another person's pain(s) in their own heart.
For example, a man whose wife is having a baby may be sincere in his expressions of love and concern for her, but it will be unlikely that he has the capacity to have full empathy with her in her condition.
One contrast
Sincerity is a quality a person may show but not have.
Empathy is a quality a person may have but not show.
SUMMARY
Empathy is the ability to fully sense another person's innermost thoughts and physical and emotional feelings.
Sincerity (i.e. 'without falsehood') is a genuineness shown by word and action.
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Alliance, amalgamation, assimilation, combination, mixture, synthesis, union are all synonyms for integration.consolidationConsolidation
grave sincerity means dead serious
Sincerity
sincere
A deep awareness of and sympathy for others suffering. The human quality of understanding the suffering of others and wanting to do something about it.
Synonyms of integrity include rectitude, honesty, forthrightness, straightforwardness, incorruptibility, principle, sincerity, goodness, incorruption, righteousness, virtue, honestness, probity, purity, candor, and honorableness.
Solicitude, sympathy, compassion, thoughtfulness, dutifulness, "going above and beyond", and empathy.
Alliance, amalgamation, assimilation, combination, mixture, synthesis, union are all synonyms for integration.consolidationConsolidation
"Sincerity" is a noun. Her sincerity is refreshing.
Sincerity is correct
Empathetic can be defined as showing empathy or ready comprehension of other states, wellbeing. Some synonyms are commiserative, compassionate, sympathetic, empathic, humane and understanding.
Truth in Sincerity was created in 2007.
Sincerity is "la sincerité" in French.
grave sincerity means dead serious
The Cult of Sincerity was created on 2008-04-08.
Have or Show empathy would be more correct than Use empathy.
Integrity means to be honest and have a standard of morals and virtues. Synonyms would be sincerity, righteousness, or decency.