Why is it that the + sign represents the doctors ?

Answer:
In ancient times, the practice of painting a red cross on doors relating to plague or other medical conditions being treated by doctors of that time. Darryl S.

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I believe it is the symbol of mending what is broken

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It represents a part of mercury the planet which governs medicine.

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first aid

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First aidRed Cross

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It is probably derived from the Red Cross.
Until the 19th century, there were no consensus on markings to identify medics in wat. In 1864 the Geneva Convention was adopted, which included the use of the red cross for this.
The reason why hospitals are usually marked, is probably due to Camillo de Lellis, former soldier, than priest and patron saint of hospitals and nurses. The pope granted him to wear a red cross.
The symbok of First Aid is also a cross, but a green one.

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Luke, - an apostle of Jesus was a doctor by profession, he is the one who introduced the plus sign meaning "with the blood of Jesus shed at this CROSS, we can be healed" or literally know "we treat but Jesus heals" Since then, the plus sign (cross) was associated with getting healing.

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The plus sign + represents that doctors are HIV +.

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Do you mean "Rx"?
Please see the webpage for more details on Medical prescription.

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it's a derivation of the red cross meaning sickness was present in a given house. it is now a sign that there is medical treatment available. consequently it makes a great target which is why hospital ships have to have escorts

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