There is a specific temperature range that causes calcination of limestone.
$$\text{CaCO}_3 + \text{Heat} = \text{CaO} + \text{CO}_2$$
The temperature range of reaction is 840°C-900°C and is used for creating cement in a kiln. Adding oxygen and sulphur dioxide causes limestone to become gypsum... which is structurally significantly weaker than limestone from which the old cathedral is built. Above 900°C the carbon dioxide emissions accelerate beyond permissible emissions levels.
Effectively, superheating limestone causes chemical reactions that result in physical changes of the structural material blocks. Exfoliation is a likely result with degradation of surfaces reaction to other chemical compounds in the fire itself. If sulphur compounds were present then there is a risk that the stone may have been changed into another type of rock to varying depths.
Add water to carbon dioxide and it creates carbolic acid which may attack limestone.
Carbonic acid, hydrochloric acid and acetic acid are some acids that react with limestone, causing it to dissolve. Each of these acids reacts with limestone in different ways. Limestone is made up mainly of calcite that is the chemical compound calcium carbonate.
Carbonic acid, which is a weak acid, forms when rainwater and carbon dioxide in the air react with one another. When carbonic acid comes into contact with limestone or calcium carbonate, it can cause it to dissolve over a long period of time. In nature, this reaction leads to the formation of caves.
Source: https://www.reference.com/science/acids-dissolve-limestone-8485a52922d6ebe1